Answer:y = 3
Step-by-step explanation:To add the two equations together, you simply add the left-hand side of one equation to the left-hand side of the other equation, and likewise for the right-hand side.
Given the equations:
-8x + 8y = 8
3x - 8y = -18
Adding them together, you get:
(-8x + 8y) + (3x - 8y) = (8) + (-18)
Simplifying both sides:
-8x + 3x + 8y - 8y = 8 - 18
Combining like terms:
(-8x + 3x) + (8y - 8y) = -10
-5x + 0 = -10
-5x = -10
Now, to solve for x, divide both sides by -5:
x = -10 / -5
x = 2
Now that you have the value of x, you can substitute it into one of the original equations to find the value of y. Let's use the first equation:
-8x + 8y = 8
Substituting x = 2:
-8(2) + 8y = 8
-16 + 8y = 8
Now, add 16 to both sides:
8y = 8 + 16
8y = 24
Finally, divide both sides by 8 to solve for y:
y = 24 / 8
