Question

A system of equations is graphed on the coordinate plane.

y=−2x−4

y=2x+4

What is the solution to the system of equations?

Question 2 options:


(0,2)


(-2,0)


(2,0)


(0,-2)

Answer 1

- 2, 0 )

Explanation:

Given the 2 equations

y = - 2x - 4 → (1)

y = 2x + 4 → (2)

Substitute y = - 2x - 4 into (2)

- 2x - 4 = 2x + 4 ( subtract 2x from both sides )

- 4x - 4 = 4 ( add 4 to both sides )

- 4x = 8 ( divide both sides by - 4 )

x = - 2

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

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

Solution is (- 2, 0 )