Question

The solution of the equation $\frac{(x\pm 7)}{3}=11$ is/are

• A. $x=16$
• B. $x=40$
• C. $x=26$
• D. $x=30$

Answer 1

Answer: (B), (C)

$x=26$

Given, the equation is $\frac{(x\pm 7)}{3}=11.$

Step 1: Multiply both the sides by 3
$\frac{(x\pm 7)}{3}\times 3=11\times 3$
$\Rightarrow (x\pm 7)=33$
$\Rightarrow (x+7)=33or(x-7)=33$

Step 2: Solve for $x$

Case 1: Taking positive sign
$x+7=33$
Subtract both sides of the equation by 7 to eliminate 7 on the left side of the equation.
$\Rightarrow x+7-7=33-7\Rightarrow x=26$

Case 2: Taking negative sign
$x-7=33$
Add both sides of the equation by 7 to eliminate 7 on the left side of the equation.
$\Rightarrow x-7+7=33+7\Rightarrow x=40$

Hence, the solution of an equation $\frac{(x\pm 7)}{3}=11$ are $x=26$ and $x=40.$