Question

What is the value of the x variable in the solution to the following system of equations?
4x + 2y = 12
x − y = 3

A. 0
B. -3
C. 3
D. 2

Answer 1

ANSWER

The correct answer is C $x=3$.

EXPLANATION

We have

$4x+2y=12---(1)$

and

$x-y=3---(2)$.

We solve the two equation simultaneously by elimination method. We need to be smart and eliminate y, since we are looking for $x$.

We first multiply equation (2) by 2

$2x-2y=6---(3)$.

We add equation (3) and (1).

$\Rightarrow 6x=18$.

Dividing through by 6 gives

$x=3$.