Question

What is the solution to the system of equations?

y = 2x + 6
y= x+ 2

A. (0,0)
C. (-2,-4)
B. (-4,-2)
D. (3,6)

Answer 1

B

Explanation:

Given the 2 equations

y = 2x + 6 → (1)

y = x + 2 → (2)

Substitute y = 2x + 6 into (2)

2x + 6 = x + 2 ( subtract x from both sides )

x + 6 = 2 ( subtract 6 from both sides )

x = - 4

Substitute x = - 4 into either of the 2 equations and evaluate for y

Substituting into (2)

y = - 4 + 2 = - 2

solution is (- 4, - 2 ) → B