Question

Solve the system of equations algebraically. Verify your answer using the graph.

y = 4x – 5

y = –3

(dont bother with the graph)

A. (1/4, -3)
B. (1/2, -3)
C. (-3, 2/3)

Answer 1

Both of those equations are solved for y.  So if the first one is equal to y and the second one is equal to y, then the transitive property says that the first one is equal to the second one.  We set them equal to each other and solve for x.  4x-5=-3 and 4x = 2.  That means that x = 1/2.  We were already told that y = -3, so the coordinates for the solution to that system are (1/2, -3), B from above.

Answer 2

Hello!

Since we already know the value of y we need to find x. We can plug in the y-value of -3 in the first equation and solve for x. 

-3=4x-5
2=4x
x=1/2

This gives us the ordered pair (1/2,-3), so our answer is B. (1/2, -3).
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I hope this helps!