Question 24 Multiple Choice Worth 1 points) (8.01 MC)
Two lines, A and B, are represented by equations given below:
Line A: y = x - 4
Line B: y = 3x + 4
Which of the following shows the solution to the system of equations and explains why?
0 (-3,-5), because the point satisfies one of the equations
0 (-3,-5), because the point lies between the two axes
(-4,-8), because the point satisfies both equations
(-4, -8), because the point does not lie on any axis

Given:

The system of equations is:

Line A:

Line B:

To find:

The solution of given system of equations.

Solution:

We have,

             ...(i)

          ...(ii)

Equating (i) and (ii), we get

Divide both sides by 2.

Substituting in (i), we get

The solution of system of equations is (-4,-8).

Now verify the solution by substituting in the given equations.

This statement is true.

Similarly,

This statement is also true.

Therefore, (-4,-8) is a solution of the given system of equations, because the point satisfies both equations. Hence, the correct option is C.