Question

Solve the system by substitution.
2x – 3y = 38
-x – 6 = y

Answer 1

x = 4, y = -10

Explanation:

-x - 6 - y = 0

-x - y = 6

2x - 3y = 38, -x - y =6

2x - 3y = 38

2x = 3y + 38

Divide both sides by 2

x = 1/2(3y+38)

Multiple 1/2 times 3y + 38

x= 3/2 y + 19

-(3/2y + 19) -y =6

-3/2y - 19 - y = 6

-5/2y -19 = 6

-5/2y = 25

y = -10

x = 3/2(-10) + y

x = -15 + 19

x = 4

x = 4, y = -10

Answer 2

x=19,0

y=0,-38/3

Explanation: