solve for, 11x+6y=-108 and 11x+9y=-162

Question

11x+6y=-108

11x+9y=-162

Answer 1

Elimination method

Given equations are 11x +6y  = -108 ----> (1)

11x +9y  = -162 ---> (2)

To eliminate the x  value subtract (1) from (2).

11x +9y  = -162

11x +6y  = -108

(-) (-)       (+)

_________________

3y  = -54

Divide to each side by 3.

y  = -18

Substitute the y  value in (1).

11x -108 = -108

Add 108 to each side.

11x  = 0

Divide to each side by 11.

x  = 0

Solution x  = 0 and  y  = -18.