Question

Justify each statement with a property from algebra or property of congruence.

If $x+5=16$then $x=11$.

Short answer

From the property of algebra, it is proved that $x=11$.

Step-by-step solution

Step 1. Apply the subtraction property of equality.

If $a=b$and $c=d$, then $a-c=b-d$.

Step 2. Description of step.

Subtract 5 from both sides of $x+5=16$.

$x+5-5=16-5$

Step 3. Description of step.

Simplify the equation mentioned in step 2 to find the value of x.

$\begin{array}{c}x+0=16-5\\ x=11\end{array}$

Therefore, the value of x is 11.