Question

Two lines, C and D, are represented by the equations given below:

Line C: y = x + 12
Line D: y = 3x + 2

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

(4, 14), because one of the lines passes through this point
(4, 14), because the point lies between the two axes
(5, 17), because both lines pass through this point
(5, 17), because the point does not lie on any axis

Answer 1

The correct answer is C.

Explanation:

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Answer 2

If you would like to know what is the solution to the system of equations, you can calculate this using the following steps:

y = x + 12
y = 3x + 2
______________
y = y
x + 12 = 3x + 2
12 - 2 = 3x - x
2x = 10
x = 5

y = x + 12 = 5 + 12 = 17

The correct result would be (x, y) = (5, 17); because both lines pass through this point.