We are given a system of two equations with two variables, $x$ and $y$. The equations are: $x - 2 = 3$ $x + y = 5$ We need to solve for $x$ and $y$.

1. Problem Description

We are given a system of two equations with two variables, $x$ and $y$. The equations are:

$x - 2 = 3$

$x + y = 5$

We need to solve for $x$ and $y$.

2. Solution Steps

First, we solve for $x$ from the first equation:

$x - 2 = 3$

$x = 3 + 2$

$x = 5$

Now, we substitute the value of $x$ into the second equation to solve for $y$:

$x + y = 5$

$5 + y = 5$

$y = 5 - 5$

$y = 0$

3. Final Answer

$x = 5$

$y = 0$