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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

Respuesta :

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

Answer:

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

Step-by-step explanation:

Line A: y = x − 4

Line B: y = 3x + 4

Substitute the value of y from Line A in Line B

[tex]x-4=3x+4[/tex]

[tex]-4-4=2x[/tex]

[tex]-8=2x[/tex]

[tex]-4=x[/tex]

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

[tex]y=3x+4[/tex]

[tex]y=3(-4)+4[/tex]

[tex]y=-12+4[/tex]

[tex]y=-8[/tex]

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

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