Question

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

Answer 1

The solution to the system of linear equations is: (−5, −11).

What is the Solution to the System of Linear Equations?

The solution to a system is the x and y -coordinates that satisfies the two linear equations.

Given the linear equations:

Line A: y = x − 6

Line B: y = 3x + 4

Now, equating these two equations

x - 6 = 3x + 4

2x = -10

x = -5

y = -11

Hence, the solution is: (−5, −11), because the point satisfies both equations.

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