Once you have $y$ written in terms of $x$, replace $y$ in the other equation $2x - y = 5$ with that expression.

After substituting, carefully combine like terms, solve for $x$, and then plug that value back into $x + y = 7$ to find $y$. Match the $(x, y)$ you get to one of the answer choices.

Rewrite the first equation as $y = 2x - 5$ and type y = 2x - 5 into Desmos to graph the first line.

Rewrite the second equation as $y = 7 - x$ and type y = 7 - x into Desmos to graph the second line.

Look at where the two lines intersect on the graph. The coordinates of this intersection give the $(x, y)$ pair that satisfies both equations; match that pair to one of the answer choices.

A solution $(x, y)$ to a system of equations must make both equations true at the same time.

We need values of $x$ and $y$ that satisfy:

Use the second equation to solve for $y$ in terms of $x$:

From $x + y = 7$,

Now we can substitute this expression for $y$ into the first equation.

Substitute $y = 7 - x$ into the first equation $2x - y = 5$:

Simplify the left side:

Add 7 to both sides:

Divide both sides by 3:

Use $x = 4$ in $y = 7 - x$:

So the solution to the system is $(x, y) = (4, 3)$, which corresponds to answer choice D.