Can anyone solve this for me

Mathematics

1 answer:

emmainna [20.7K]3 years ago

7 0

Answer:

(-2, -4.5)

Step-by-step explanation:

We can solve this equation with substitution.

x=2y+7

3x-2y=3

We can "substitute" 2y+7 for x into the second equation:

3(2y+7)-2y=3

Distribute the 3

6y+21-2y=3

Add like terms

4y+21=3

Subtract 21 from both sides

4y=-18

Divide both sides by 4 to isolate y

y=-4.5

Plug -4.5 back in for y:

x=2(-4.5)+7

x=-9+7

x=-2

(x,y)=(-2,-4.5)

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5 0

3 years ago

Read 2 more answers

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Hatshy [7]

First step.

If we multiply by 3 the first equation and by 2 the second equation we get the first step:

$\begin{gathered} 6x-12y=54 \\ 6x+6y=0 \end{gathered}$

therefore, the answer for the first box is: Multiplication property of equality.

Second step.

If we subtract both equations, we have

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then, the answer for the second box is: Subtraction property of equality

Third step.

By dividing both sides of our last result by -18, we get

$y=\frac{54}{-18}=-3$

then, the answer for the third step is: Division property of equality.

Fourth step.

Once we have obtained the result for variable y (which is -3), we need to find the result for variable x. So, by substituting our result for y into the first equation, we have