Question

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

Line C: y = x + 5
Line D: y = −2x − 1

Which of the following options shows the solution to the system of equations and explains why? (4 points)


(−2, 3), because the point does not lie on any axis

(−2, 3), because both lines pass through this point

(−2, 3), because one of the lines passes through this point

(−2, 3), because the point lies between the two axes

Answer 1

Option B is correct

Explanation:

Answer 2

For this case we have the following system of equations:
y = x + 5
y = -2x - 1
Substituting the point (-2, 3) we have:
For Line C:
y = x + 5
3 = -2 + 5
3 = 3
The line goes through this point.
For Line D:
y = -2x - 1
3 = -2 (-2) - 1
3 = 4 - 1
3 = 3
The line goes through this point.
Answer:
(-2, 3), because both lines pass through this point