Solve the system of equations

y = - 2x

y=x²-8

The solutions for the system of equation.

when x = 2 than y = - 4

when x = - 4 than y = 8

Step-by-step explanation:

As given the system of equation

y = - 2x

y = x²-8

Put y = - 2x in the equation y = x²-8.

-2x = x²-8

x² + 2x - 8 = 0

x² + 4x - 2x - 8 = 0

x (x + 4) - 2 (x + 4) = 0

(x + 4) (x - 2) = 0

x = 2, - 4

Put x = 2 in the equation y = - 2x

y = - 2 * 2

y = - 4

Put x = - 4 in the equation y = - 2x

y = - 2 * - 4

y = 8

Therefore when x = 2 than y = - 4 and when x = - 4 than y = 8.