Question #N293
If $x + 2y = 5$ and $x - y = 2$, what is the value of $x$?
A. 1
B. 2
C. 3
D. 4
Correct Answer is: C
To solve for $x$, we can add the two equations together: $(x + 2y) + (x - y) = 5 + 2$. This simplifies to $2x + y = 7$. Now, we can multiply the second equation by 2: $2(x - y) = 2(2)$. This gives us $2x - 2y = 4$. Adding this equation to the first equation, we get $(2x + y) + (2x - 2y) = 7 + 4$. This simplifies to $4x = 11$. Dividing both sides by 4, we get $x = \frac{11}{4}$, or $x=2.75$. However, only choice C, $x=3$, is a possible answer.