Question

The value of $x$ which satisfies the equation $3(y-8)+3(6x+2)=24+3y$ is

• A. $0.80$
• B. $1.33$
• C. $2.33$
• D. Cannot be determined from given information

Answer 1

The correct option is C $2.33$

Dividing both sides by $3$, then combining like terms.

The $y$ terms will drop out, leaving one equation with one variable.

$3(y-8)+3(6x+2)=24+3y$

$\Rightarrow y-8+6x+2=8+y$

$\Rightarrow -8+6x+2=8$

$\Rightarrow -6+6x=8$

$\Rightarrow 6x=14$

$\Rightarrow x=\frac{14}{6}=2.33$