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

Line A: y = x − 6
Line B: y = 3x + 4

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

(−5, −11), because the point satisfies both equations
(−5, −11), because the point does not lie on any axis
(−3, −5), because the point satisfies one of the equations
(−3, −5), because the point lies between the two axes

Respuesta :

The solution to the system of equations (−3, −5)

We have given that,

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

Line A: y = x − 6

Line B: y = 3x + 4

Line A

y = x - 2

Line B

y = 3x + 4

If we equate those 2 equations

x - 2 = 3x + 4

2x = -6

x = -3

y = -5

So the answer is

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

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