5x-15y=-20, 5x-4y=-9 systems of equations (elimination)

Answers

Answer 1

Answer:

(- 1, 1 )

Step-by-step explanation:

5x - 15y = - 20 → (1)

5x - 4y = - 9 → (2)

Multiplying (2) by - 1 and adding to (1) will eliminate the x- term

- 5x + 4y = 9 → (3)

Add (1) and (3) term by term to eliminate x

0 - 11y = - 11

- 11y = - 11 ( divide both sides by - 11 )

y = 1

Substitute y = 1 into either of the 2 equations and solve for x

Substituting into (1)

5x - 15(1) = - 20

5x - 15 = - 20 ( add 15 to both sides )

5x = - 5 ( divide both sides by 5 )

x = - 1

solution is (- 1, 1 )


Related Questions

You must write your answer in fully simplified form.
8a= 5

Answers

Answer:

x = 5/8

Step-by-step explanation:

[tex]\frac{8x}{8} = \frac{5}{8}[/tex]

x=[tex]\frac{5}{8}[/tex]

need helpppppp plz .

Answers

Answer:

A) x=10

Step-by-step explanation:

All the angles in a triangle will add to equal 180°.

Knowing this, we can set up an equation.

(8x+5) + (5x-1) + (4x+6)= 180°

In order to solve, we must first combine like terms. (These can be found on the left side of the equation).

8x+5x+4x= 17x

5+ (-1) + 6= 10

We can now rewrite our equation as follows:

17x+10=180°

Subtract 10 from both sides.

17x+10=180°

    - 10   -10

17x=170°

Divide by 17 on both sides.

17x=170°

----   -----

17      17

x= 10°

The answer is x=10°.

W
Enter the value of x-21.
(x - 21)
71

Answers

Step by step
(x - 21)(71)
=(x + - 21)(71)
=(x)(71) + (-21)(71)


=71x -1491

46. A sphere shaped bowl has a radius of 5.5 inches How much water can the bowl hold? Round to the nearest tenth.

Answers

Answer:

try 17.89 cm..then 18 for answer

(03.02 MC)
The vertices of AGHI are G (2, 4), H (4,8), and I (8,4). The vertices of AJKL are ) (1.), K (2, 3), and L (4,1). Which conclusion is true about the triangles?

whats the answer

Answers

Answer:

The coordinates of J are missing.  Plus, I don't see options for the conclusions.  I made an imaginary point J, which you could correct to form the proper triangle.

Step-by-step explanation:

See the attachment.  Plot all the vertices, including a corrected point J and draw the resulting triangle.  It might be that AJKL is a slightly smaller, shifted version of AGHI.  Enter the correct coordinates and then compare.

Question in the picture

Answers

Answer:

√85

Step-by-step explanation:

Noah borrowed $0.80 from his friend John five days last week to buy chips. how much does Noah owe John?

Answers

Answer:

$0.80

Step-by-step explanation:

Answer:

So Noah owes John $4.00

Step-by-step explanation:

Since Noah borrowed 80 cents from John for 5 days, you'd simply multiply 0.80 (remember to include the decimal) by 5, and you'd get 4.

Hope this helps you :)

find the domain of y= 2/3 square root of x+5-4

Answers

Set the radicand in

x

5
x
-
5
greater than or equal to
0
0
to find where the expression is defined.
x

5

0
x
-
5

0
Add
5
5
to both sides of the inequality.
x

5
x

5
The domain is all values of
x
x
that make the expression defined.
Interval Notation:
[
5
,

)
[
5
,

)
Set-Builder Notation:
{
x
|
x

5
}
{
x
|
x

5
}
The range of an even indexed radical starts at its starting point
(
5
,
0
)
(
5
,
0
)
and extends to infinity.
Interval Notation:
[
0
,

)
[
0
,

)
Set-Builder Notation:
{
y
|
y

0
}
{
y
|
y

0
}
Determine the domain and range.

Rico's dog weighs 64 pounds.
The dog is 3 times as heavy as he was when he was 6 months old.

Write an equation that can be used to find the dog's weight, w, when he was 6

months old.

Answers

The equation that can be used to represent the weight of the dog when he was 6 months old is 64/x.

What is the  equation that can be used to represent the weight of the dog when he was 6 months old?

The equation that can be used to represent the dog's current weight is: 64 = 3x

Where x represents the weight of the dog when he was 6 months old

In order to determine the value of x, divide both sides of the equation by 3

x = 64/x

To learn more about division, please check: https://brainly.com/question/13281206

Answer:

the answer is below

Step-by-step explanation:

Which equation represents the function f(x) = (1. 6)x after it has been translated 5 units up and 9 units to the right? g(x) = (1. 6)x 5 â’ 9 g(x) = (1. 6)x 5 9 g(x) = (1. 6)x â’ 9 5 g(x) = (1. 6)x 9 5.

Answers

The equation that represents they function f(x) = (1.6)^x after it has been translated 5 units up and 9 units to the right is;

g(x) = [(1.6)^(x - 9)] + 5

We are given the function;

f(x) = (1.6)^x

Now,when we translate a function 9 units to the right, it means that we will subtract 9 from the x unit to give;

g(x) = (1.6)^(x - 9)

Now, when we translate it 5 units upwards, it means we are adding 5 to f(x). Therefore, we now have;

g(x) = [(1.6)^(x - 9)] + 5

Read more on translation of graphs at; https://brainly.com/question/11468584

A)14.3
B)11
C)7.4
Plz help

Answers

Answer:

c

Step-by-step explanation:

The value of c is 7.4.

HELP ME PLEASEEE!!





48 degrees 96 degrees x =

Answers

Answer:

144°

96+48(further away angles)

Answer:

x = 144°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

x is an exterior angle of the triangle , then

x = 48° + 96° = 144°

please help me!!!!!!! due soon

Answers

Answer:

A

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

(4x + 11) is an exterior angle of the triangle , then

4x + 11 = 3x - 24 + 2x

4x + 11 = 5x - 24 ( subtract 5x from both sides )

- x + 11 = - 24 ( subtract 11 from both sides )

- x = - 35 ( multiply both sides by - 1 )

x = 35 → A

A. Is the answer! Hope it helps

The table shows the distance between Greenville and nearby towns. The distance between Astaville and
Greenville is 14 miles less than the distance between Greenville and Jonesborough,
Distance between Greenville and
Nearby Towns(miles)
Jonesborough
24
Willfower 21
Maybem 30
Part 1 out of 2
Enter two equations that state the relationship of the distances between the three towns. Use x as the
variable

Answers

That looks so hard dude i feel bad-
Hdjdajahsidndisbaiwbtd

Transversal cuts parallel lines and as shown in the diagram, and m∠4 = 55.1°. What are m∠5 and m∠7? A. m∠5 = 34.9°, and m∠7 = 145.1°. B. m∠5 = 55.1°, and m∠7 = 34.9°. C. m∠5 = 124.9°, and m∠7 = 55.1°. D. m∠5 = 55.1°, and m∠7 = 124.9°. E. m∠5 = 34.9°, and m∠7 = 55.1°.

Answers

Answer:

m < 5 = 55.1 i think im not forsure

Step-by-step explanation:

Whenever the Transversal EF intersects parallel line AB and CD, the values of m∠5 and m∠7 are 55.1° and 124.9°, respectively.

What is an angle?

An angle results from the intersection of two lines at a point. The term "angle" describes the width of the "gap" that exists between these two rays. It's represented by the symbol.

Angles are most frequently measured in degrees and radians, a measurement of roundness or rotation. Angles are a part of everyday existence.

As per the information provided in the question,

Since the transverse line, EF, intersects the line segment AB and CD, it creates equivalent, alternate, and other angles.

As a result, the m∠5 and m∠7 are as follows:

First, supplementary angles ∠5 and ∠7 are present. Since they add up to 180 degrees, they are equal.

Since alternate angles are equivalent, ∠5 is an alternative angle to ∠4. Therefore,

m∠5 ≅ m∠4

m∠5 = 55.1°

So,

m∠5 + m∠7  = 180°

55.1 + ∠7 = 180

∠7 = 180 - 55.1

m∠7 = 124.9°

To know more about an angle:

https://brainly.com/question/28451077

#SPJ2

I don't understand raitos please help solve math problems

Answers

1st is to make the numbers into ratios. Basically taking the two numbers and putting them in the middle. I’ll do the 1st 15:36.
Next you put it into a fraction: 15/36
Put in the comments if you want me to do all or if you have any questions!

352 is 32% of what number?​

Answers

Answer:

1100

Step-by-step explanation:

A plane travels 2047.5 miles in 3.5 hours. Find the plane's speed in miles per hour.

Answers

Answer:

585m/hr

Step-by-step explanation:

To find the plane's speed for 1 hour, we will need to divide 2,047.5 by 3.5:

2,047.5 / 3.5 = 585.

585 miles represents the speed of the plane for 1 hour.

Kameron wrote the following equation:

4x - (x - 3) = 18

Using the distributive property, what would her next step be?

Answers

Answer:

hope it helps you..........

Find x, y, and z. Drag and drop the numbers into the boxes to show the value of each variable.

Answers

Answer:

x=186.68

y=140

z=233.34

Step-by-step explanation:

easy method to solve since you have the answers to pick from

first triangle. we have two sides 175 and 105 and we know that 175 have to be the largest number, its the hypotenuse. which means

y=140,

cannot be 233 or 186 because both greater than 175

now next triangle. x-y-z, we already know "y" and "z" needs to be the largest number so it has to be

z= 233.34 and finally

x=186. 67

The blueprint for Moreno​'s living room has a scale of 2 inches equals 3 feet. The family wants to use a scale of 1 inch equals 2 feet. What is the width of the living room on the new​ blueprint? (The width is 8)

Answers

Answer:

Part a) The scale of the new blueprint is      

Part b) The width of the living room in the new blueprint is  

Step-by-step explanation:

we know that

The scale of the original blueprint is

and

the width of the living room on the original blueprint is 6 inches

so

Find the actual width of the living room, using proportion

Find the actual length of the living room, using proportion

Find the scale of the new blueprint, divide the length of the living room on the new blueprint by the actual length of the living room

simplify  

     

Find the width of the living room in the new blueprint, using proportion

please answer!!!!!!!!!​

Answers

Answer:

C. The graph of g(x) is the graph of f(x) horizontally stretched by a factor of 5.

Step-by-step explanation:

It should be C. The graph is being stretched by a factor of 5.

I think this image demonstrates this concept the best.

Here’s a link to a site that has a better explanation: https://courses.lumenlearning.com/waymakercollegealgebra/chapter/compressions-and-stretches/

A motorcycle can run 108km in 2h20mn Find the average speed

Answers

Answer:

do it got a picture

on the edge2020

Step-by-step explanation:

1. Calculate the equation of the line through the points (1, 1), (4, 3), (10, 7) and (40, 27).

Answers

Answer:

y = (2/3)x + 1/3

Step-by-step explanation:

Check that a single straight line will actually go through all four of these points.  Going from (1, 1) to (4, 3), the 'rise' is 2 and the 'run' is 3, which would make the slope, m, equal rise/run = 2/3.  Going from (4,3) to (10, 7), m = rise/run = 4/6 = 2/3 (again).

Let's find the slope-intercept form of the equation of this line:  y = mx + b

Arbitrarily choose the point (1, 1).  Here x = 1, y = 1 and m = 2/3.  Then

we have

1 = (2/3)(1) + b, or 1 = 2/3 + b, so that b must be 1/3.

The equation in question is y = (2/3)x + 1/3

which image shows a reflection?​

Answers

Answer: A

Step-by-step explanation:

Tony Peyton, age 20, would like to have $1,000,000 by the time he is 65 years of age. If Tony could earn 6.9% annual interest compounded monthly, how much must he invest now to have $1,000,000 by the time he is 65?

Answers

Using compound interest, it is found that he must invest $45,225 now.

Compound interest:

[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]

A(t) is the amount of money after t years.  P is the principal(the initial sum of money).  r is the interest rate(as a decimal value).  n is the number of times that interest is compounded per year.  t is the time in years for which the money is invested or borrowed.

In this problem:

He wants to have $1,000,000 in 65 - 20 = 45 years, hence [tex]t = 45, A(t) = 1000000[/tex].6.9% annual interest, hence [tex]r = 0.069[/tex].Compounded monthly, hence [tex]n = 12[/tex].

Then:

[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]

[tex]1000000 = P\left(1 + \frac{0.069}{12}\right)^{12(45)}[/tex]

[tex]P = \frac{1000000}{(1.00575)^{540}}[/tex]

[tex]P = 45225[/tex]

He must invest $45,225 now.

To learn more about compound interest, you can take a look at https://brainly.com/question/25781328

Answer:

He must invest $45,225

Lily has 7 fewer ribbons than Dora. Lily has 13 ribbons. How many ribbons does Dora have?

Answers

Answer: 6

Step-by-step explanation:

13-7=6

how to solve the following system y=(1/2)x^2+2x-1 and 3x-y=1

Answers

Answer:

(0,-1),(2,5)

Step-by-step explanation:

3x-y=1

0.5[tex]x^{2}[/tex]+2x-1=y

Substitute the equation of y into the other equation

3x-(0.5[tex]x^{2}[/tex]+2x-1)=1

3x-0.5[tex]x^{2}[/tex]-2x+1=1

collect like terms

-0.5[tex]x^{2}[/tex]+x=0

Solve for x

x(-0.5x+1)=0

0=-0.5x+1

-1=-0.5x

x=2 x=0

Back substitute into the other original equation and solve for y

3(2)-y=1

6-y=1

y=5

(2,5)

3(0)-y=1

-1(-y)=-1(1)

y=-1

(0,-1)

BRAINLIEST
Do one of the above and show your work

Answers

Answer:

10,   C = circumference = 2 pi 11 = 69.11 since the radius = 6

PR = C / 2 = 34.6  since PR is 1/2 the circumference

PS = 34.6 - 16 = 18.6    since PS is 16 ft short of C/2

Answer:

Step-by-step explanation:

Which functions are invertible? Select each correct answer. A coordinate graph with both horizontal and vertical axes ranging from negative 10 to 10 in increments of 2. A line is graphed with one end is in the first quadrant and the other end is in the third quadrant. The line passes through the x axis between 0 and negative 2 and it passes the y axis between 0 and 2. A coordinate graph with both x and y axes are ranging from negative 10 to 10 in increments of 2. A parabola is drawn facing down whose vertex is in the first quadrant and the parabola crosses the x axis at begin ordered pair 0 comma 0 end ordered pair and begin ordered pair 2 comma 0 end ordered pair. Parabola has arrows on both ends. An absolute value function graphed on a coordinate plane. The x and y axes range from negative 10 to 10 in increments of 2. The vertex is at begin ordered pair 0 comma negative 2 end ordered pair. The graph opens up and passes through begin ordered pair negative 2 comma 0 end ordered pair and begin ordered pair 2 comma 0 end ordered pair. Graph has arrows on both ends. Graph of a square root function on a coordinate plane. Both axes range from negative 10 to 10 in increments of 2. The curve begins at begin ordered pair 0 comma 0 end ordered pair. It increases from left to right and passes through begin ordered pair 4 comma 2 end ordered pair. Curve has an arrow on one end.

Answers

Using function concepts, it is found that:

Graph 1 (Left-top) is invertible.Graph 4(Bottom-right) is invertible.

A function f(x) has an inverse if, and only if:

[tex]f(a) = f(b) \leftrightarrow a = b[/tex]

That is, each value of the output y is associated with only one value of the input x.

In this problem:

In graphs 1(left-top) and 4(bottom-right), these conditions are respected, hence, they are invertible. In the parabola of graph 2(top-right), for example, y = 0 is associated with both x = 0 and x = 2, so it is not invertible.In the absolute value function is graph 3(bottom-left), for example, y = 0 is associated with both x = -2 and x = 2, so it is also not invertible.

To learn more about the use of graphs to verify if a function is invertible, you can take a look at https://brainly.com/question/13160937

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You know, your golf shoes is kinda dirty you know. I mean, seriously Making a Butterfly Garden By: Matthew Ramirez 1Do you want butterflies in your garden? You can bring butterflies to your garden. Butterflies will come to your garden if you give them the things they need. Butterflies need food to eat. They need places to rest. They also need water to drink. 2The first step you should take is to plant flowers. Butterflies eat the sweet liquid in flowers. They like bright flowers. They like the colors red, yellow, orange, pink, and purple. 3Next, give the butterflies places to rest. Butterflies can rest on the flowers you plant. Butterflies like to sit in the sun. You should plant some flowers in the sun. They also like to sit on rocks. You should put flat rocks in your garden. The butterflies will like sitting on it. 4Finally, put water in your garden. Butterflies need to drink water just like people do. You can put a bird bath in your garden. You could also keep a pan of water in your garden. 5Butterflies could make your garden more beautiful. Try to bring some to your garden today!Why is the passage MOST LIKELY organized into short paragraphs?A) The paragraphs help to list each step in making a butterfly garden.B) The paragraphs let the reader know the passage tells a fictional story.C) The short paragraphs indicate that the reader is supposed to be comical.D) The author prefers to write using short paragraphs, and can't write any other way. which statement best defines the term civil liberties? you serve a volleyball with a mass of 2.1 kg. The ball leaves your hand with a speed of 30 m/s. The ball has how much energy find HCF of 27 and 45 1 7.26 0.22 =2 17.92 0.64 =3 7.65 0.85 =4 36.20 0.05 =5 31.85 0.91 = please answer it cause my calculator is broken I want know answer for best way to copy formula on MS Access HELP WILL MARK BRAINLIESTIf an electrically charged plastic bag is placed close to an uncharged cloth, what will happen? The charge of the bag will change. The charge of the cloth will change. The plastic bag will attract the cloth. The plastic bag will repel the cloth. A carpenter is framing an opening in a wall to hang a rectangular door. Which properties must the door frame have to ensure that the door hangs properly?1a) The top and bottom are parallel.2b) The top and right side form a right angle.4c) The left side and right side are parallel.5d) The left side and bottom form a right angle. Deer are introduced into a grassland ecosystem and their population increases considerably. If the deer population continues to grow, which is the MOST likely outcome for the ecosystem?Biodiversity would decrease, and sustainability would decrease.Biodiversity would decrease, and sustainability would increase.Biodiversity would increase, and sustainability would increase.Biodiversity would increase, and sustainability would decrease. X + y = 12 x - y = 10 what is the value of the x-determinant for the system shown?. Work out m and c for the line: 2 y + 3 x = 5 Find the measure of the angle x to the nearest tenth. Question 7 options: 33. 5 56. 5 28. 9 44. 3. Write a function rule for "The output is three times the input increased by twoA) y=5xB) y=3x+2C) y=3x - 2D) y=2x+3 determine whatever ABCD is a parallelogram by using the midpoint formula. A(3,3) B (1.2) C(-3.1) D (-1.4) Jenny is a great saver! She has $80 in her savings account. She deposits $25 each week into her account. She wants to save at least $300 before she begins to withdraw money from her account. Which of the following inequalities can Jenny use to determine when she can withdraw money from her account? Nelson and Jamie both want to buy a $250 bicycle.Nelson has saved $136 and Jamie has saved $142. How muchmore money do they each need to save? Why were the U.S forces not along the western front? A worker at a snack stand opened a new box of spoons. The first day, the worker used 25 spoons from the box. The second day, the worker used 15% of the remaining spoons in the box. A total of 140 spoons were used on the second day. What was the original number of spoons in the box before any spoons were used? josh has 20 apples john has 20 how many do they have all together