Question

X−2y=10

x+3y=5
Solve each system of equations by elimination. Clear identify your solution.

​

Answer 1

x = 8, y = -1.

Explanation:

x - 2y = 10

x + 3y = 5 Subtracting this equation from the first one:

0 - 5y = 5

y = -1

Plug y = -1 in the second equation:

x + 3(-1) = 5

x - 3 = 5

x = 5 + 3

x = 8.

Answer 2

(8, - 1 )

Explanation:

x - 2y = 10 → (1)

x + 3y = 5 → (2)

subtract (2) from (1) term by term to eliminate x

(x - x) + (- 2y - 3y) = 10 - 5

0 + (- 5y) = 5

- 5y = 5 ( divide both sides by - 5 )

y = - 1

substitute y = - 1 into either of the 2 equations and solve for x

substituting into (2)

x + 3(- 1) = 5

x - 3 = 5 ( add 3 to both sides )

x = 8

solution is (8, - 1 )