Solve for x: x − y = 1

This is a single linear equation with two variables, which means it has infinitely many solutions. To "solve" it, we express one variable in terms of the other.

Step 1: Isolate $x$.
Add $y$ to both sides of the equation:

$$x - y = 1$$ $$x - y + y = 1 + y$$ $$x = 1 + y$$

Alternatively, you could isolate $y$:

$$x - y = 1$$ $$-y = 1 - x$$ $$y = x - 1$$

The solution expresses the relationship between $x$ and $y$.