How do you solve 2x+y=5 and x-y=1?

1 Answer
Jun 8, 2016

x = 2 " and " y = 1x=2 and y=1

Explanation:

In this case we have a perfect scenario because the y terms are additive inverses. When the two equations are added, the y terms will add to 0.

2x + y = 5 " A"2x+y=5 A
x - y = 1 " B"xy=1 B

A + B: " " 3x = 6 3x=6
" " x = 2 x=2

Substitute x = 2x=2 in B
2 - y = 12y=1
2 - 1 = y21=y
1 = y1=y