solve the system by elimination 2x+5y=-3, 2x+2y=6

Question

solve the system by elimination

Answer 1

Elimination method

2x+5y = -3 -------> (1)

2x+2y = 6 -----------> (2)

To eliminate the x value subtrat equation (2) from (1).

2x+5y = -3

2x+2y = 6

(-) (-)    (-)

________

3y = -9

Divide to each side by 3.

3y/3 = -9/3

⇒ y = -3

Substitute the y value in (1).

2x+5*-3 = -3

2x-15 = -3

Add 15 to each side.

2x-15+15 = -3+15

2x = 12

Divide to each side by 2.

2x/2 = 12/2

⇒ x = 6

Solution x =6, y = -3