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

step-by-step explanation:

no solution.