Question

X + 3y = 5
x + 2y = 3
Solve by using elimination​

Answer 1

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

Explanation:

The variable x has the same coefficient in both equations, so we can eliminate x by subtracting one equation from the other. We notice the y-coefficient is greater in the first equation, so we want to subtract the second equation. This will ensure that the remaining y-term has a positive coefficient. (That is not required by the elimination method, but it helps reduce mistakes.)

(x +3y) -(x +2y) = (5) -(3)

y = 2 . . . . . . . simplify

x =3 -2y = 3 -2(2) = -1 . . . . . use the second equation to find x

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