Question

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

Answer 1

Answer:

infinitely many

Step-by-step 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.