Solve the simultaneous equations
2y - 5x = 9
4y + 3x = 5
Do not use trial and improvement

Answers

Answer 1

Answer:

y = 2, x = -1

Step-by-step explanation:

2y - 5x = 9

2y = 9+5x

y = (9+5x) /2

4y + 3x = 5

4((9+5x) /2) + 3x = 5

13x + 18 = 5

13x = -13

x = -1

y = (9+5x) /2

y = (9+5(-1)) /2

y = 2

Answer 2

Answer:

x = -1, y = 2

Step-by-step explanation:

2y - 5x = 9

4y + 3x = 5

eliminate one of the variables by multiplying the equations and then adding them together.

3(2y - 5x = 9)

5(4y + 3x = 5)

6y - 15x = 27

20y + 15x = 25

26y = 52

y = 2

now input the value of y into one of the original equations to find x.

8 + 3x = 5

8-5 = 3

x = -1


Related Questions

A human’s DNA code, found in nearly all body cells, can be condensed into chromosomes.

Answers

Answer:

I'm a alien, sorry.

Step-by-step explanation:

Answer:

True

Strands of DNA are or can be condensed to chromosomes.

~Hope this helps~

What is the value of the expression below when y=
4 and z=
= 4
5y+7z

Answers

Answer:

48

Step-by-step explanation:

Factorise the following

Answers

Answer:

D

Step-by-step explanation:

First take out a factor of 2:

2(1 - 25x^2)

Then factor the difference of squares:

2(1 -5x)(1+5x)

How many 3-inch thick bags of mulch should Noemi buy to cover 100 square feet at a depth of 4 inches? The length is 3.2ft and the width is 2.5ft.

Answers

Answer:

Approximately 17 bags.

Step-by-step explanation:

The length of the bag of mulch = 3.2 ft

The width of the bag of mulch = 2.5 ft

The thickness of the bag of mulch = 3 inch = 0.25 ft

Volume of a bag of mulch = length x width x thickness

                                          = 3.2 x 2.5 x 0.25

                                          = 2 cubic feet

So that, the volume of a bag of mulch is 2 cubic feet.

The area to be covered = 100 square feet

The depth of the area = 4 inches = [tex]\frac{1}{3}[/tex] feet

volume of the portion to be covered = area x depth

                                                = 100 x [tex]\frac{1}{3}[/tex]

                                                = 33 [tex]\frac{1}{3}[/tex] cubic feet

The volume of the portion to be covered is 33 [tex]\frac{1}{3}[/tex] cubic feet.

The number of bags of mulch needed = [tex]\frac{33\frac{1}{3} }{2}[/tex]

                                                       = 16[tex]\frac{2}{3}[/tex]

                                                   = 16.6667

The number of bags of mulch needed is 17.

Select all of the attributes of the right rectangular prism.

Answers

Answer:

Opposite faces are parallel

There are 6 faces

All faces meet at 90 degrees.

Step-by-step explanation:

I think

Write down a different ratio equivalent to 42 : 12

Answers

Step-by-step explanation:

simplify it maybe

try it with 2 and 3

Answer:

Another ratio that is equivalent to this is 7:2.

Step-by-step explanation:

If we divide both sides by 6, we get 7 and we get 2. Since 42 comes first, we put the 7 in place of the 42. Then we replace 12 with 6. After this, we get the ratio 7:2.

Which equation illustrates dividing out a common factor as the first step to solve the equation 2 x + 4 = 6 x + 2 ? A. 2 ( x + 2 ) = 2 ( 3 x + 1 ) B. 2 x 2 + 2 2 = 6 x 2 + 2 2 C. 2 x 2 + 4 = 6 x 2 + 2 D. 2 x + 4 2 = 6 x + 2 2

Answers

Answer:

Step-by-step explanation:

2x + 4 = 6x + 2

Bringing like terms on one side

4 - 2 = 6x - 4x

2 = 2x

2/2 = x

1 = x

Which expression is equivalent to 4(2x +3)?

a.4 + 2x + 4 +3
8x + 12

c.8x + 3

d.
4 + 2x + 12

Answers

Answer:

c 8x+3 all you do is multiply 4 and 2 to get 8 and add an x

whats the error in this question

Answers

Answer:

line 1

Step-by-step explanation:

This is because when using the distribitive property they did not multiply the 1 in parenthese which would be x-5x+5=3x+2

Answer:

PROBABLY LINE ONE

Step-by-step explanation:

BECAUSE THE FOLLOWING LIKE THE ANSWER IS WRONG  

The circle shown has a radius of 4 cm.
Not drawn
to scale
What is the length of the diameter of the circle?
cm​

Answers

Answer:

8 cm

Step-by-step explanation: diamater is half the radius

In the month of February I spent 37.45 on coffee and a mug.... How many refills did I get?

8.95 +1.50r= Total



Someone help ASAP!

Answers

8.95 + 1.50r= 37.45

find the value of r ...

which is 19

19 refills

what is 82.68 ÷ 1,000?​

Answers

Hello, I am BrotherEye

Answer:. 0.08268

Step-by-step explanation:

However many zeros there is you push that down so if it was 20.40 divided by 100 there is two zeros in 100 so the answer would be .2040

Ms. Johnson owns a cabinet business that installs cabinets in kitchens. Her employees can install 2/3 of a

kitchen cabinet set in 1/5 of an hour.

How many kitchen cabinet sets can be installed by her workers in 1 hour?

Express your answer as an improper fraction.

Answers

Answer:

10/3 of the cabinet

Step-by-step explanation:

Given data

We are given that in 1/5 hour they can install 2/3 kitchen cabinet

We want to find out how many of the kitchen cabinet they can install in one hour

Hence

in 1/5 hour they installed 2/3 cabinet

in 1 hour they will install x cabinet

cross multiply

x* 1/5= 2/3

divide both sides by 1/5

x= 2/3/1/5

x= 2/3*5/1

x= 10/3 of the cabinet

A fossilized leaf contains 8% of its normal amount of carbon 14. How old is the fossil (to the nearest year)? Use 5600 years as the half-life of carbon 14.

Answers

Answer:

Step-by-step explanation:

0.5^(t/5600) = 0.08

2^(-t/5600) = 0.08

-t/5600 = log₂0.08

t = -5600 log₂0.08 ≈ 20406 years

PLSSSS HELPPPPP ASAPPPP

Answers

Answer:

b

Step-by-step explanation:

sum of 34908 and 12765?​

Answers

Answer:

47,673

Step-by-step explanation:

Answer: 47,673

Step-by-step explanation:

Solve the system.
3x + 2y + 4z = 11
2x – y + 3z = 4
5x – 3y + 5z = -1
Enter your answer as an ordered triple.


Someone help please!!

Answers

My math problem is write one hundredths as a decimal

Answer:   (x, y, z) = (-3, 2, 4)

In other words, x = -3, y = 2 and z = 4.

You'll enter the number only into each box.

===============================================================

Explanation:

There are a few routes we can take to solve this. I'll use substitution.

First let's isolate y in the second equation.

2x - y + 3z = 4

2x + 3z = 4+y

4+y = 2x+3z

y = 2x+3z-4

This is then plugged into the first equation

3x+2y+4z = 11

3x+2( y )+4z = 11

3x+2( 2x+3z-4)+4z = 11 .... replace y with 2x+3z-4; since y = 2x+3z-4

3x+4x+6z-8+4z =11

7x+10z-8 = 11

7x+10z = 11+8

7x+10z = 19 .... we'll call this equation (4) and come back to this later

--------------------------------------

Move onto the third equation (of the original equations given)

Plug in y = 2x+3z-4

5x - 3y + 5z = -1

5x - 3( y ) + 5z = -1

5x - 3( 2x+3z-4 ) + 5z = -1

5x - 6x - 9z + 12 + 5z = -1

-x - 4z + 12 = -1

-x - 4z = -1-12

-x - 4z = -13 ..... let's call this equation (5)

--------------------------------------

To recap, we found equation (4) and equation (5) to be

7x+10z = 19-x - 4z = -13

We can then solve for x in equation (5) like so

-x - 4z = -13

-x = -13 + 4z

-x = 4z - 13

x = -(4z - 13)

x = -4z + 13

This is then plugged into equation (4)

7x+10z = 19

7(-4z+13)+10z = 19 .... note how we now have one variable

-28z+91+10z = 19

-18z+91 = 19

-18z = 19-91

-18z = -72

z = -72/(-18)

z = 4

We can use this value of z to find x

x = -4z+13

x = -4(4)+13

x = -16+13

x = -3

Use the values of x and z to find y. We'll revisit the first equation in which we isolated y

y = 2x+3z-4

y = 2(-3)+3(4)-4

y = -6+12-4

y = 6-4

y = 2

So overall, the solution to this system is (x, y, z) = (-3, 2, 4)

-------------------------------

Checking the answer:

We'll replace x,y,z with the values we found.

In the first equation, 3x+2y+4z = 11 becomes 3(-3)+2(2)+4(4) = 11 and that simplifies to 11 = 11. In other words, the expression 3(-3)+2(2)+4(4)  turns into 11. This confirms the first equation.Repeat the same idea for the second equation. We have 2x-y+3z=4 turn into 2(-3)-2+3(4) = 4 and that simplifies to 4 = 4. The answer is verified here. The third equation 5x-3y+5z = -1 becomes 5(-3)-3(2)+5(4) = -1 which simplifies to -1 = -1. We get a true equation here as well.

Since all three equations are true when (x, y, z) = (-3, 2, 4), this verifies the answer completely. This is the only solution to the system. The system is independent and consistent.

Pls tell me so quotes of not giving up

Answers

Answer:

Step-by-step explanation:

Knowledge is knowing a tomato is a fruit, wisdom is not putting it in a fruit salad

Your time is too valuable to waste on those who don't deserve it

Never give up great things take time

Failure is not an acception

As a wise fish once said "Just Keep Swimming" the more u swim the closer you get to your goal.

Draw graph of straight lines to find approximate solution to these simultaneous equations . y = 3x + 7 and 2y + x = 2

Answers

Answer:

(-1.714, 1.857)

Step-by-step explanation:

Here, we want to find the approximate solution to the system of linear equations

We start by plotting the graph of the lines

We have the plot as shown below;

the red line represents the first equation while the blue line represents the second equation

We have the solution as the point at which the two lines meet

The solution to this is;

(-1.714, 1.857)



Kaylee surveyed 920 of the students in her school about their favorite color. 95% said

their favorite color was blue. How many students' favorite color was blue?

Answers

Answer:

x = 874

Step-by-step explanation

Set up your equation like this: Part/whole = percent/100

Assign the variable x to the unknown part of the equation and add in the known numbers:

So in this situation it would be: x/920 = 95/100

Solve for x:

100 times X = 920 times 95. (cross multiply)

That leaves you with 100x = 87,400

Divide both sides by 100:

x = 874

Omg- I need mega help- Ok- WHATS 1+1?! fr- this is such a hard question

Answers

Answer:

hkññaaqedx jurx jkñlnbgl dpsnish mija

Need help te slim is designing a cover for a book he wants to have a rectangler grid

Answers

Answer:

The answer is A

Step-by-step explanation:

If you do (x-3)(x-7) you get x^2 - 10x + 21

A company that makes hair-care products had 5,000 people try a new shampoo. of the 5,000 people, 15 had a mild allergic reaction. What percent of the people had a mild allergic reaction? PLEASE HELP ILL GIVE BRAINLIEST

Answers

750 people had the allergic reaction. Hope this helps

2/x + 5/3 = 7/2, trynna solve for x

Answers

Answer:

x= 12/11

Step-by-step explanation:

Express as a trinomial. (2x+5)(3x-4)

Answers

Answer:

[tex]6x^{2} + 7x - 20[/tex]

Step-by-step explanation:

I need help with my math practice problems
[tex] - \frac{1}{8} = \frac{7}{4} + \frac{3}{2} z[/tex]

Answers

I’m getting 61/24 I’m sorry if it’s wrong.

Please help me on this I need help

Answers

Answer:

49.92

Step-by-step explanation:

Square = 30

5 x 6 = 30

Half Circle = 9.42

6 x 3.14 = 18.84 divided 2 since it’s a half circle equals 9.42

Triangle = 7.5

3 x 5 = 15 divided by 2 = 7.5

So, 30+ 9.42 + 7.5 = 49.42

:

Two boats are traveling toward a lighthouse that is 200 feet (ft) above sea level at its top. When the two boats and the lighthouse are collinear, the boats are exactly 250 feet apart and the boat closest to the lighthouse has an angle of elevation to the top of the lighthouse of 15°, as shown.






What is the value of x, rounded to the nearest hundredth?

Answers

Answer:

Which Number Is x, You Didnt Specify

HEEEEELLLLPPPP
write a short explanation of why the distance formula works and include a discussion of why either point can be point 1 or point 2

Answers

Answer:

Finding the distance between two distinct points on a plane is the same as finding the hypotenuse of a right triangle. From this perspective, the distance formula states that the distance of two distinct points on a plane is equal to the square root of the sum of the square of the rise and run.

I can not Put Out The Points So Im sorry.


Latoya made $147 for 7 hours of work.
At the same rate, how much would she make for 9 hours of work?

help pls


Answers

Answer:

$189 in 9 hrs

Step-by-step explanation:

Division is one of the four fundamental arithmetic operations. The amount that Latoya will make by working 9 hours is $189.

What is Division?

The division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.

Given that Latoya made $147 for 7 hours of work. Therefore, we can write,

Money made in an hour = Total Amount / Number of hours

                                         = $147 / 7 hours

                                         = $21 per hour

Now, the amount that Latoya will make in 9 hours will be,

Amount for 9 hours of work = Money made in an hour × Number of hours

                                              = $21 per hour × 9 hours

                                              = $189

Hence, the amount that Latoya will make by working 9 hours is $189.

Learn more about Division here:

https://brainly.com/question/369266

#SPJ2

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