Question

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

Line C: y = x + 10
Line D: y = 3x + 2

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


answer choices

(5, 17), because one of the lines passes through this point

(5, 17), because the point lies between the two axes

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

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

Answer 1

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

Line C: y = x + 10
Line D: y = 3x + 2

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


answer choices

(5, 17), because one of the lines passes through this point

(5, 17), because the point lies between the two axes

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

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

Answer 2

(4,14) because both lines pass through it.

Explanation:

A "solution" to a system of equations is simply a point that both lines pass through.

First image is the solution found through graphing and the second image is the solution found through substitution.