Question #N207

If $2x + 3y = 12$ and $x - y = 1$, what is the value of $x$?
A. 2
B. 3
C. 4
D. 5

Correct Answer is: B

We can solve for $x$ using the substitution method. Solving the second equation for $y$, we get $y = x - 1$. Substituting this into the first equation gives us $2x + 3(x - 1) = 12$. Simplifying the equation, we get $2x + 3x - 3 = 12$, or $5x - 3 = 12$. Adding 3 to both sides gives us $5x = 15$. Dividing both sides by 5, we get $x = 3$.