OpenSAT

We can solve this system of equations by substitution. Substitute the expression for $y$ from the second equation into the first equation: $x = 2(-x + 1) + 3$. Simplifying this equation, we get $x = -2x + 2 + 3$, or $3x = 5$. Dividing both sides by 3, we find $x = \frac{5}{3}$. Now, we can substitute this value of $x$ back into either of the original equations to solve for $y$. Substituting into the second equation, we get $y = -\frac{5}{3} + 1$, or $y = \frac{-2}{3}$.