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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 :

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ANSWER

(–5, –11), because the point satisfies both equations

EXPLANATION

The given equations are:

Line A: y = x – 6

Line B: y = 3x + 4

We substitute (-5,-11) into both equations.

Line A: -11 = -5– 6

This implies that,

-11=-11

This statement is true.

Line B: -11= 3(-5)+ 4

-11= -15+ 4

-11=-11

This is also true.

Since this point ,(&6,-11) satisfy both equations, it is their solution.

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