Question

Solving x + 3y = 5 and -x - y = -3 by eliminationg.

Answer 1

(x, y) = (2, 1)

Explanation:

The x-coefficients are opposites of each other, so the x variable will be eliminated if the two equations are added.

(x +3y) +(-x -y) = (5) +(-3)

2y = 2

y = 1

Substituting into the first equation gives ...

x +3(1) = 5

x = 2 . . . . . . . subtract 3

The solution is (x, y) = (2, 1).