Question

Solve the system of linear equations below.

x + y = 4
2x + 3y = 0
A.x = -6, y = 2
B.x = -1, y = 5
C.x = 11/5, y = 9/5
D.x = 12, y = -8

Answer 1

x + y = 4 ------- 1)
2x + 3y = 0 ------ 2)

multiply 1) by 3 to eliminate y

3x + 3y = 12 ----- 3)

subtract 2) from 3) to get x:

x = 12

Recall:
x + y = 4
y = 4 - 12 = -8

x = 12, y = -8

Answer 2

thank you