Question #N813

If $x + 2y = 10$ and $x - y = 2$, what is the value of $y$?
A. 2
B. 3
C. 4
D. 6

Correct Answer is: B

We can solve this system of equations using elimination. Adding the two equations together, we get $2x + y = 12$. Solving for $x$, we find $x = \frac{12 - y}{2}$. Substituting this value of $x$ into the first equation, we get $\frac{12 - y}{2} + 2y = 10$. Multiplying both sides by 2, we get $12 - y + 4y = 20$. Combining like terms, we get $3y = 8$. Therefore, $y = \frac{8}{3}$.