Question #N11
If $3x + 2y = 10$ and $x - 2y = 2$, what is the value of $x$?
A. 2
B. 3
C. 4
D. 5
Correct Answer is: B
We can add the two equations together to eliminate $y$: \begin{align*} 3x + 2y &= 10 \\ + \\ x - 2y &= 2 \\ \hline 4x &= 12 \\ \end{align*} Dividing both sides by 4, we find that $x = 3$.