What is the solution to the system of equations y = 2x-1 and y = -x + 5?

1 Answer
Jan 1, 2016

x=2, y=3

Explanation:

By elimination:

y=2x-1

2x-y=1 ---(1)

y=-x+5

x+y=5 ---(2)

(1)+(2):

2x-y+x+y=1+5

3x=6

x=2

Subsitute x=2 into (2):

2+y=5

y=3