Question

2. (02.03 MC)Solve the equation X+4-3=1 for the variable. Show each step of your solution process.

Answer 1

Solution:

Given:

$\sqrt[]{x+4}-3=1$$\begin{gathered} \sqrt[]{x+4}-3=1 \\ \text{Adding 3 to both sides of the equation,} \\ \sqrt[]{x+4}-3+3=1+3 \\ \sqrt[]{x+4}=4 \\ \text{Taking square of both sides,} \\ x+4=4^2 \\ x+4=16 \\ x=16-4 \\ x=12 \end{gathered}$

Therefore, the solution to the equation is x = 12