Question

Is x= 2 a solution to the equation 3x+5=x+9?Make sure to state your answer as yes or no and then show your work to prove youranswer.

Answer 1

SOLUTION

To answer the question, lets find x

$\begin{gathered} 3x+5=x+9 \\ collecting\text{ like terms we have } \\ 3x-x=9-5 \\ 2x=4 \\ dividing\text{ by 2, we have } \\ \frac{2x}{2}=\frac{4}{2} \\ x=2 \end{gathered}$

Since we got x = 2,

Hence the answer is YES