Question

Solve by any method

{y-3x=2}
{y=-2x-8}

Answer 1

x = - 2 , y = - 4

Explanation:

given the system of equations

y - 3x = 2 → (1)

y = - 2x - 8 → (2)

solving by the method of substitution

substitute y = - 2x - 8 into (1)

- 2x - 8 - 3x = 2 ( simplify left side )

- 5x - 8 = 2 ( add 8 to both sides )

- 5x = 10 ( divide both sides by - 5 )

x = - 2

substitute x = - 2 into (2) and solve for y

y = - 2x - 8 = - 2(- 2) - 8 = 4 - 8 = - 4

solution is x = - 2 and y = - 4