Question

How many solutions does the system below have?
y=1/2x+1
2y - x = 2

Answer 1

infinitely many

Explanation:

Rewrite these equations as

y = (1/2)x + 1

2y = x + 2

and then solve the second for y: y = (1/2)x + 1. Note that these end results are identical. The two lines coincide; that is, one lies right on top of the other. Thus, there are infinitely many solutions.