Question

Solve the system of equations using elimination
2x + y = 5
-1x + y = 2

Answer 1

(1, 3 )

Explanation:

Given the 2 equations

2x + y = 5 → (1)

- x + y = 2 → (2)

Rearrange (1) expressing y in terms of x by subtracting 2x fro both sides

y = 5 - 2x → (3)

Substitute y = 5 - 2x into (2)

- x + 5 - 2x = 2

- 3x + 5 = 2 ( subtract 5 from both sides )

- 3x = - 3 ( divide both sides by - 3 )

x = 1

Substitute x = 1 into (3) for corresponding value of y

y = 5 - 2(1) = 5 - 2 = 3

solution is (1, 3 )