Answer:
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
