Which pair of values satisfies both $2x + 3y = 13$ and $x - y = -1$?

Explanation

1. 01

   From the second equation, $x = y - 1$.

2. 02

   Substitute: $2(y - 1) + 3y = 13$, so $5y = 15$ and $y = 3$.

3. 03

   Then $x = 3 - 1 = 2$. Check: $4 + 9 = 13$ and $2 - 3 = -1$.