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? (1 point) a (−3, −5), because the point satisfies one of the equations b (−3, −5), because the point lies between the two axes c (−4, −8), because the point satisfies both equations d (−4, −8), because the point does not lie on any axis

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20192021 20192021 · Answer 1 · 2021-04-08T01:22:12+02:00

Answer:

The answer is "C"

Step-by-step explanation:

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altavistard altavistard · Answer 2 · 2021-04-08T01:29:04+02:00

Answer:

Answer C. This point lies between the two axes and its coordinates satisfy both equations

Step-by-step explanation:

Line A: y = x − 4

Line B: y = 3x + 4

Let's actually solve this system, using substitution: Equate

Line A: y = x − 4 to Line B: y = 3x + 4, obtaining:

x − 4 = 3x + 4

Subtract (x - 4) from both sides. Doing so yields

0 = 2x + 8, and so x = -4.

From Line A let's find y: Letting x = -4, we get: y = -4 - 4 = -8

and so the solution is (-4, -8). This matches Answer C. This point lies between the two axes and its coordinates satisfy both equations.