Question

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

Line A: y = x − 2
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 does not lie on any axis
(−3, −5), because the point satisfies both equations
(−4, −8), because the point satisfies one of the equations
(−4, −8), because the point lies between the two axes

Answer 1

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

Answer 2

The solution to the system of linear equations is: (−3, −5), because the point satisfies both equations.

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 − 2

Line B: y = 3x + 4

The values of x and y that would satisfy both equations is (−3, −5).

Therefore, the solution is: (−3, −5), because the point satisfies both equations.

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