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Determine the solution to the system of equations graphed below.

The solution is the point

.

Solution

The two lines intersect where $x=3$ and $y=2\text{,}$ so the solution is the point $(3,2)\text{.}$ We write the solution set as $\{(3,2)\}\text{.}$ To check this solution, remember that we can substitute the values of $x=3$ and $y=2$ into both equations and verify that we obtain true statements. We will leave the checking step for you to do on your own.