Question

Simultaneous equations x+5y=6
x+3y=2

Answer 1

(- 4, 2 )

Explanation:

x + 5y = 6 → (1)

x + 3y = 2 → (2)

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

(x - x) + (5y - 3y) = 6 - 2

0 + 2y = 4

2y = 4 ( divide both sides by 2 )

y = 2

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

substituting into (1)

x + 5(2) = 6

x + 10 = 6 ( subtract 10 from both sides )

x = - 4

solution is (- 4, 2 )