Answer
This system of equations has infinitely many solutions.
Work Step by Step
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.
