Question

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

If $2z-5=-3$then $2z=2$.

Short answer

From the property of Algebra, it is proved that $2z=2$.

Step-by-step solution

Step 1. Apply subtraction property of algebra.

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

Step 2. Description of step.

Add 5 on both sides of the equation $2z-5=-3$.

$2z-5+5=-3+5$

Step 3. Description of step.

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

$\begin{array}{c}2z+0=2\\ 2z=2\end{array}$

Therefore, the value of $2z$is 2.