Answer:
x = 4 and y = 0
Step-by-step explanation:
Given expression:
-2x + 8y = -8
5x - 8y = 20
Now, to solve this problem by elimination, follow this procedure:
-2x + 8y = -8 --- i
5x - 8y = 20 --- ii
Coefficient of y in both expression have similar values;
Now, add equation i and ii;
(-2x + 5x) + (8y -8y ) = -8 + 20
3x = 12
Divide both sides by 3;
x = [tex]\frac{12}{3}[/tex] = 4
Now, to find y; put x = 4 into equation i,
-2(4) + 8y = -8
-8 + 8y = -8
Add +8 to both sides of the expression;
-8 + 8 + 8y = -8 + 8
8y = 0
y = 0
