In the system $2x + 3y = 12$ and $4x - 3y = 6$, what is the value of $x$?
A$2$
B$3$
C$4$
D$6$
Answer & Solution
Correct answer: B. $3$
Add the two equations: $(2x + 4x) + (3y - 3y) = 12 + 6$, so $6x = 18$, giving $x = 3$. Elimination cancels $y$ here because the $3y$ and $-3y$ terms already match.
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