Question

Two lines, A and B, are represented by equations given below:

Line A: y = x − 2
Line B: y = 3x + 4

Which of the following shows the solution to the system of equations and explains why?

Group of answer choices:

A) (−3, −5), because the point does not lie on any axis

B) (−3, −5), because the point satisfies both equations

C) (−4, −8), because the point satisfies one of the equations

D) (−4, −8), because the point lies between the two axes

Answer 1

set the equations equal to each other to find x
x - 2 = 3x + 4
-6 = 2x
x = -3

plug x into either equation
-3 - 2 = y
y = -5

(-3, -5)

the answer is B