Solve the simultaneous equations
3x−2y=27
3x−y=24
x=? y=?
I can do this easily with positives but somehow I just don't understand a bit in negatives, can anyone help?
None of my answers are working.

Answers

Answer 1

Answer:

3x-2y=24 _____ (1)

2x-3y=18 _____ (2)

multiply (1) by 2

6x - 4y = 48

multiply (2) by 3

6x-9y=54

subtracting

6x - 4y = 48

6x - 9y = 54

- + -

___________

5y = -6

y=−

5

−6

3x−2(−

5

6

)=24

=3x+

5

12

=24

=3x=24−

5

12

=

5

120−12

=

5

108

∴x=

5

36

x+y=

5

36−6

=

5

30

=6

x−y=

5

36+6

=

5

42

solution

Step-by-step explanation:

according to me this should be the answer

good luck

hope it becomes helpful to you ☺️☺️

Answer 2

The x and y value from the given system of equations are 7 and -3 respectively.

What is a linear system of equations?

A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.

The given simultaneous equations are 3x-2y=27 ------(I) and 3x-y=24 ------(II) .

Subtract equation (I) from (II), we get

3x-y-(3x-2y)=24-27

⇒ y=-3

Substitute y=-3 in equation (I), we get

3x-2(-3)=27

⇒ 3x=21

⇒ x=7

Therefore, the x and y value from the given system of equations are 7 and -3 respectively.

To learn more about the linear system of an equations visit:

https://brainly.com/question/27664510.

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Related Questions

Please Help!
Write a equation for each hanger!

Answers

Answer:

Step-by-step explanation:

A: 2x = 3

B: w+1.3 = 2.7

C: 3y = 5.1

D: z+⅓ = ½

In ΔHIJ, i = 9.2 cm, j = 1.4 cm and ∠H=84°. Find the length of h, to the nearest 10th of a centimeter

Answers

Answer:

9.2

Step-by-step explanation:

S.A.S.→Law of Cosines

a^2=b^2+c^2-2bc\cos A

From reference sheet.

h^2 = 9.2^2+1.4^2-2(9.2)(1.4)\cos 84

=84.64+1.96−2(9.2)(1.4)(0.104528)

Square and find cosine.

h^2 = 84.64+1.96-2.69265

h  

2

=84.64+1.96−2.69265

Multiply.

h^2 = 83.90735

h  

2

=83.90735

Add.  

h=  

83.90735

​  

≈9.16≈9.2

The required measure of the length of h is 9.2 centimeters.

What are trigonometric equations?

These are the equation that contains trigonometric operators such as sin, cos.. etc.. In algebraic operations.

here,

Law of Cosines

In ΔHIJ, i = 9.2 cm, j = 1.4 cm and ∠H=84°

Following the cosine rule

a²=b²+c²-2bc×cos A

From given

h² = 9.2²+1.4²- 2(9.2)(1.4) × cos 84

h² = 84.64+1.96-2.69265

h²  = 84.64+1.96 −2.69

h² = 83.9

h ≈9.2

Thus, the required measure of the length of h, to the nearest 10th of a centimeter is 9.2 centimeters.

Learn more about trigonometry equations here:

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Please solve this....

Answers

Answer:

the value will be equal to 0

Step-by-step explanation:

see the attached picture for solution --

Identify the slope and y-intercept for 2x + y = 3

Answers

Step-by-step explanation:

The formula for the slope is y=mx+b, where m is the slope and b is the y-intercept. Since 2 is being multiplied by x, that means it is the slope. The variable y is being added, so it has to be the y-intercept.

Answer:

2=slope & y-intercept=y

Answer:

the slope is -2 and the y-intercept is 3

Step-by-step explanation:

you can rearrange the equation into y=mx+b form which will be y = -2x + 3

the m in y=mx+b is the slope, which in this case is -2.

and the y-intercept is 3 bc is the only constant in the equation.

what is the distance between (-1, 2) and (5, -2)on a graph put into a decimal form. ​

Answers

Given:

The two points are (-1,2) and (5,-2).

To find:

The distance between the given points.

Solution:

Distance formula:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Using the distance formula, the distance between the given points is

[tex]d=\sqrt{(5-(-1))^2+(-2-2)^2}[/tex]

[tex]d=\sqrt{(5+1)^2+(-4)^2}[/tex]

[tex]d=\sqrt{(6)^2+16}[/tex]

[tex]d=\sqrt{36+16}[/tex]

On further simplification, we get

[tex]d=\sqrt{52}[/tex]

[tex]d=7.2111[/tex]

[tex]d\approx 7.21[/tex]

Therefore, the the distance between the given points is about 7.21 units.

FREE BRAINLY!!!! PLEASE HELP

Answers

Answer:

Y= 1/3x-15

Step-by-step explanation:

-6=-3(-3)+b

-6= 9+b

subtract 9 on both sides

b= -15

Y= 1/3x-15

because its perpendicular the -3x become positive and reciprocal

Answer:

Y= 1/3x-15

Step-by-step explanation:

Triangle JKL is dilated with the origin as the center of dilation to create triangle J'K'L' .


Which rule best represents the dilation that has been applied to triangle JKL to create triangle J'K'L'

Answers

Answer: (x,y) -> (7/4x, 7/4y)

Step-by-step explanation:

PLEASE HELP!!
How could writing a problem using an exponent be easier to understand than repeated multiplication?

Answers

Answer:

One reason, is because it clearer and easier to read.

Seeing two numbers (3^5) can let you know, in this example, 3x3x3x3x3 is harder to understand than 3^5.

3 is the number being multiplied, and 5 tells you how many times.

~Hope this helps~

A box of cereal contains 510 grams of cereal. To make a bowl of cereal, n grams of cereal is removed from the box. What equation models the relationship between the quantity of cereal removed, n, and the quantity of the cereal remaining in the box, b?

Answers

Answer:

its 34

Step-by-step explanation: i

Ben flipped a coin and got heads
7/15
of the time. If he flipped the coin 45 more times, how many times would you expect Ben to flip tails?
7
28
35
24​

Answers

y 0 y=mx+b of this answer

Answer:

28

Step-by-step explanation:

y = 6x - 13
5x - 2y = 5
Using the substitution method

Answers

Answer:

x=3, y=5

Step-by-step explanation:

Mark u brainliest and give 30 points.No random answers and pls give answers with explanation/steps or i will report u.​

Answers

Answer:

I use equal signs throughout but they are meant to be less than or equal to signs.

s=sandwiches

4.5s+6 less than or equal to 50

The answer is s is less than or equal to 12

Step-by-step explanation:

Finding Inequality

1. we know everything costs 50 in total so that is on one side of the equal sign.

____=50

2. we know he already spent 6 dollars so the money he can spend is 6 dollars less.

____+6=50

3. Each sandwich costs 4.50 $ so how much money does he have left to spend? we figure that out by multiplying the price by the number of sandwiches.

4.5s+6=50

Solving

1. 4.5s-6=50

First use the addition property of equality and add 6 to both sides.

2. 4.5s=56

Then use the division property of equality and divide each side by 4.5

3. you get a decimal but since you can't buy half a sandwich the answer is

s is less than or equal to 12

someone please answerrrrrr

Answers

The third answer because it is a linear increasing line

I need help QUICKLY plzz, due soon

Answers

Answer:

log(144) or 2.158

Step-by-step explanation:

Answer:

log(144)

Step-by-step explanation:

When you evaluate and multiply it out, this is what it turns out to be. Hope this helps!!!:)

What is 3 + 1 in math​

Answers

3 + 1 equals 4 i think

Answer:

The answer is 4

Step-by-step explanation:

3+1=4

Have a nice day:)

Find the area of the composite figure.
21 ft
12 ft
9 ft
9 ft
6 ft
6 ft

Answers

Answer:

738 square ft

Step-by-step explanation:

Area of the composite figure

= 21*(12 + 9 + 6) + 9*(9 + 6) + 6*6

= 21*27 + 9*15 + 6*6

= 567 + 135 + 36

= 738 square ft

Which expression is equivalent to
3x +10- x + 12?

A. 26x

B. 4x + 22

C.2x + 22

D. 24x

Answers

Answer:

2x + 22

Step-by-step explanation:

3x - (1)x = 2x

10 + 12 = 22

therefore 2x + 22 is your answer

Answer:

C

Step-by-step explanation:

subtract : 3x - x = 2x

Add : 10 + 12 = 22

Answer: 2x + 22

brainliest for ripromano please anybody else dont answer

Answers

Answer:

ahhh you didnt have to !!

Step-by-step explanation:

thank you so much, ill do the same!! check my page for a question w free brainliest

What is the graph of the solution set of b - 42 -1?

Answers

Answer:Your answer would be F

Step-by-step explanation:

ANSWER THESE 2 QUESTIONS FOR 100 FLIPPING POINTS :DDDD

Answers

Answer:

43.5 cm² and 112 cm²

Step-by-step explanation:

Here the instructions aren't given what to do. So I am finding the area of the ∆s .

Area of first ∆ :-

A = 1/2 * b * h A = 1/2 * 14.5 cm * 6cmA = 3 × 14.5 cm²A = 43.5 cm²

Area of second ∆ :-

A = 1/2 * ( sum of || sides) * h A = 1/2 * ( 9 cm + 19cm) * 8cm A = 4cm * 28cmA = 112 cm²

Answer:

[tex] \displaystyle 3) \boxed{ \rm {43.5 \: cm}^{2} }[/tex]

[tex] \displaystyle 4)\rm \boxed{112 {cm}^{2} }[/tex]

Step-by-step explanation:

Question-1:

we are given a triangle and we want to figure out the area of it Since we are given the base and the height we can consider the following formula

[tex] \displaystyle \frac{1}{2} bh[/tex]

from the triangle we can assume base and height as 14.5 and 8 respectively Thus substitute:

[tex] \displaystyle \frac{1}{2} (14.5cm)(6cm)[/tex]

reduce fraction:

[tex] \displaystyle (14.5cm)(3cm)[/tex]

simplify multiplication:

[tex] \displaystyle \boxed{ \rm {43.5 \: cm}^{2} }[/tex]

Question-2:

our given shape is trapezoid

therefore recall that,

[tex] \displaystyle A _{ \text{trapezoid}} = \frac{a + b}{2} h[/tex]

from the shape we define that

[tex]a = 9[/tex][tex]b = 19[/tex][tex]h = 8[/tex]

now substitute:

[tex] \displaystyle \rm A _{ \text{trapezoid}} = \frac{9cm + 19cm}{2} (8cm)[/tex]

reduce fraction:

[tex] \displaystyle \rm A _{ \text{trapezoid}} = (9cm + 19cm)(4cm)[/tex]

simplify addition:

[tex] \displaystyle \rm A _{ \text{trapezoid}} = (28cm)(4cm)[/tex]

simplify multiplication:

[tex] \displaystyle \rm A _{ \text{trapezoid}} = \boxed{112 {cm}^{2} }[/tex]

These angles can make more than one triangle: 60, 30, and 90 degrees
True
False
None of the above
All of the above

Answers

Answer:

false is correct answer if wrong sorry

Answer:

false bc those 3 angles make up 1 right triangle

In 12 years, Janice will be 8 times as old as she was 2 years ago. How old is Janice
now?

Answers

Janice is currently 4.

In 12 years, Janice will be 16, and 2 years ago she was 2. That being said, 16 is eight times more than 2, thus meaning she is currently 4 years old.

I hope this helps!

Rotate the triangle 180 degrees around the origin

Answers

If you rotate the triangle 180 degrees around the origin I’ll only go half way of that triangle

HELP ME!!! I’LL GIVE BRAINLIEST!!! PLEASE

Answers

Answer:

A) Replace one equation with the sum/difference of both equations

Step-by-step explanation:

6x-5y=1

+

-2x+2y=-1

=

4x-3y=0

X
8.
13
Solve for enter the number only)

Answers

The answer I got was 7

how do you convert 7/6 into a mixed number or how do you covert fractions into a number in general.​

Answers

Answer:

1 1/6

Step-by-step explanation:

You can convert 7/6 into a mixed number by subtracting 1 from the improper fraction, because 1= 6/6

7/6 -6/6= 1 1/6

Answer:

7/6 would be 1 1/6

Step-by-step explanation:

To make it a number in general turn into a decimal.

PLEASE FAST ANSWER ME PLEASEEE
During the election for class president, 30% of the students voted for Ruby, and 70% of the students voted for Ellie. 500 students voted in total. How many MORE students voted for Ellie than for Ruby?

Answers

Answer:

150,350

Step-by-step explanation:

FOR RUBY:

500x30/100=150

FOR ELLIE:

500x70/100=350

Answer:

200.

Step-by-step explanation:

100%->500

1%->500÷100=5

Ruby->30%->30×5=150

Ellie->70%->70×5=350

diff->350-150=200(ans)

⅝y -6 < 4
plz show work

Answers

Answer:

[tex]y<16[/tex]

Step-by-step explanation:

Bethany earns $2.00 for each book she sells. What equation could Bethany use to find
the number of books (b) she must sell to earn $30.00?

Answers

Answer:

30 = b * ?

b = 2 * ?

Step-by-step explanation:

b = books

2 = price of each book

30 = b * ?

or

b = 2 * ?

One number is five less than a second number. Five times the first is 8 more than 6 times the second. Find the numbers.

The value of the first number is ____

Answers

Answer:

-38

Step-by-step explanation:

Let's say that x= 1st number and y=2nd number.

In order to find the first number,  you have to find out the 2nd number which it says, "5 less than a second number", it would be y-5. then it says the "5 times the first is 8 more than 6 times the second". then there should be an equal sign because there is the word "is". The expression would be: 5(y-5)=6y+8. then solve the y. which is -33, then plug in the y to the y-5 and there you go!

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