Question

How many solutions does the system have?

x = -4y + 4
2x + 8y = 8

A. one solution
B. two solutions
C. infinitely many solutions
D. no solution

Answer 1

If you would like to know how many solutions does the system of two equations have, you can calculate this using the following steps:

x = -4y + 4 ... x + 4y = 4 /*(2)
2x + 8y = 8
____________
2x + 8y = 8
2x + 8y = 8
____________
0 = 0

The correct result would be infinitely many solutions.