Question

−

2
x
+
2
y
=
8

6
x
+
y
=
11

If
(
x
,
y
)
is the solution to the system of equations above, what is the value of
7
y
?

Answer 1

7y=-91

Explanation:

-2x + 2y = 8 (multiply the second equation by 2)

12x + 2y = 22

Adding the two equations, we get:

10x = 30

Therefore, x = 3.

Substituting x = 3 into the second equation, we get:

6(3) + y = 11

Simplifying, we get:

y = -13

Finally, we can find the value of 7y:

7y = 7(-13) = -91