What is the solution to the system? 1/2x + 3/2= -7
-3x + 2y = -2

(-2, -4)

the (x, y) pair solution to the system is: (-2, -4)

That is x = -2 and y = -4

Step-by-step explanation:

I presume there is a variable y missing in the first equation, and in fact the system looks like:

(1/2) x + (3/2) y = - 7

- 3 x + 2 y = -2

In such case, we proceed to multiply both sides of tye first equation by 6

6 (1/2) x + 6 (3/2) y = - 42

3 x + 9 y = - 42  and we add term by term this equation to the second one, so as to cancel out the term in x:

3 x + 9 y = - 42

- 3 x + 2 y = -2

11 y = - 44

divide both sides by 11 to isolate y

y = -44 / 11 = -4

Then with the value y = -4, now we replace it in the second equation to solve for x:

- 3 x + 2 y = - 2

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

- 3 x - 8 = - 2

add 8 to both sides

- 3 x = 6

divide both sides by (-3) to isolate x

x = 6 / (-3) = - 2

Therefore the (x, y) pair solution to the system is: (-2, -4)

That is x = -2 and y = -4

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