Question

Solve system of equations using multiplication with addition method.

Answer 1

(- 1, 5)

Explanation:

Given the 2 equations

`(1)/(3)`(2x + y) = 1 → (1)

x + y = 4 → (2)

Multiply (1) by 3 to eliminate the fraction

2x + y = 3 → (3)

Eliminate y by subtracting (2) from (3) term by term

(2x - x) + (y - y) = (3 - 4) ← simplify

x = - 1

Substitute x = - 1 into (2) for corresponding value of y

- 1 + y = 4 ( add 1 to both sides )

y = 5

Solution is (- 1, 5)