## Geometry: Common Core (15th Edition)

We can use the first equation to substitute for $y$ in the second equation. Then we can solve for $x$ first: $2(-x + 2) = 4 - 2x$ Distribute first to get rid of the parentheses: $-2x + 4 = 4 - 2x$ Add $2x$ to each side of the equation to move $x$ terms to the left side of the equation: $4 = 4$ This statement is true, which means the statement is true for every value of $x$; therefore, this system of equations has infinitely many solutions.