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? (5 points)


(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

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

(4,14)
C: y = 4 + 12 = 16
D: y = 3(4) + 2 = 12 + 2 = 14

(5,17)
C: y = 5 + 12 = 17
D: y = 3(5) + 2 = 15 + 2 = 17

(5,17) shows the solution to the system of equations, because both lines pass through this point.