How do you solve the following linear system: y = - 3x + 8, 2x + y = 15 y=3x+8,2x+y=15?

1 Answer
Nov 14, 2015

x=-7x=7
y=29y=29

Explanation:

y=-3x+8y=3x+8 --------------------(1)
2x+y=152x+y=15 ---------------------(2)

Substitute >y=-3x+8y=3x+8 in equation (2)

2x+(-3x+8)=152x+(3x+8)=15
2x-3x+8=152x3x+8=15
-x=15-8=7x=158=7
x=-7x=7

Put x=-7x=7 in equation (1)

y = -3(-7)+8y=3(7)+8
y =21+8=29y=21+8=29
y=29y=29