Question

Two lines, M and N, are represented by the following equations:

Line M: y = x + 3
Line N: y = −2x + 6

Which of the following options shows the solution to the system of equations and explains why? Please do it quickly

Group of answer choices

(1, 4), because the point does not lie on any axis

(1, 4), because one of the lines passes through this point

(1, 4), because both lines pass through this point

(1, 4), because the point lies between the two axes

Answer 1

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Answer 2

The answer is (1,4) because both lines pass through this point.

Explanation:

To find a solution to a system of equations, both lines have to pass through the same point. If both lines intercept at the same point, that means that point is the solution to the system of equations.