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
3 answers
The solution is (4, 14), because when you substitute x = 4 into the equations of lines C and D, y = 4+12 = 16 for line C, and y = 3(4)+2 = 14 for line D. Therefore, the point (4, 14) is the solution to the system of equations.
a, b, c, or d
The correct answer based on the explanation provided is:
(b) (4, 14), because the point lies between the two axes
(b) (4, 14), because the point lies between the two axes