MUST HAVE WORK SHOWN!

Determine the number of solutions to the system of equations.

x + 2y = 2

4y = - 2x + 4

a. No Solution

b. One solution

c. Infinite solutions

set bottom equation to look like first one.

2x+4y=4

this equation is the same equation as the first just multiplied by 2. the answer is c. infinite solutions. you can plug in and solve:

solve bottom equation equal to y, you get y=-1/2x+1

plug into top equation

x+2 (-1/2x+1) = 2

x-x+2=2

2=2

because that is a true statement it is c. infinite solutions