show your work!!!!! (i do brainliests)

Two lines, A and B, are represented by the 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

Respuesta :

Answer:

(−4, −8), because the point satisfies both equations

Step-by-step explanation:

Line A  

y = x - 4

Line B

y = 3x + 4

If we equate those 2 equations

x - 4 = 3x + 4

2x = -8

x = -4

y = -8

Answer:

C. (-4,-8), because the point satisfies both equations

Step-by-step explanation:

You need to graph both equations. For line A, the y-intercept is -4, so you plot a point on -4. The slope is one, so you rise up one and run right 1. For line B, the y-intercept is 4, so you plot a point on 4. The slope is 3, so you rise up 3 and run right 1. Then, you look for where the 2 lines intersect. In this case, line A and line B intersect at the point (-4,-8).