Question

What is the solution of the system of equations: -2x+8y=-8 and 5x-8y=20 using elimination​

Answer 1

x = 4 and y = 0

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 =
`(12)/(3)` = 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