Question

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

If $6x=18$then x = 3.

Short answer

From the property of Algebra, it is proved that x = 3.

Step-by-step solution

Step 1. Apply division property of algebra.

If $p=q$ and $r\ne 0$, then $\frac{p}{r}=\frac{q}{r}$.

Step 2. Description of step.

Divide each side of the equation, $6x=18$by 6.

$\frac{6x}{6}=\frac{18}{6}$

Step 3. Description of step.

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

x = 3

Therefore, the value of x is 3.