solve. using subsitution

Question

-7x-2y=-13
x-2y=11

Answer 1

From the second equation, we can solve for x in terms of y:
x = 2y + 11

Now we substitute this value of x into the first equation:
-7(2y + 11) - 2y = -13

Simplifying, we get:
-14y - 77 - 2y = -13
-16y - 77 = -13
-16y = 64
y = -4

Now we substitute the value of y back into the second equation to find x:
x - 2(-4) = 11
x + 8 = 11
x = 3

So the solution to the system of equations is x = 3 and y = -4.