Question

Two lines, A and B, are represented by equations given below: Line A: y = x − 4 Line B: y = 3x + 4 Which of the following shows the solution to the system of equations and explains why? (−3, −5), because the point satisfies one of the equations (−3, −5), because the point lies between the two axes (−4, −8), because the point satisfies both equations (−4, −8), because the point does not lie on any axis

Answer 1

(-4,-8) because it satisfies both equations

Answer 2

The solution is (-4,-8)because the point satisfies both equations.

Explanation:

Line A: y = x − 4

Line B: y = 3x + 4

Substitute the value of y from Line A in Line B

`x-4=3x+4`

`-4-4=2x`

`-8=2x`

`-4=x`

Substitute the value of x in Line B to get value of y

`y=3x+4`

`y=3(-4)+4`

`y=-12+4`

`y=-8`

Thus the solution is (-4,-8)because the point satisfies both equations.