Q5 - Geometry

Question

Find the value of the variable.

$15-z=0$

Step-by-Step Solution

Answer

The value of the variable is $z=15$.

Step 1. Subtract 15.

To find the value of variable z in the equation $15-z=0$, subtract 15 from both sides of the equation.

$15-z-\left(15\right)=0-\left(15\right)$

Step 2. Collect like terms.

Remove all the brackets and collect the like terms.

$15-15-z=0-15$

Step 3. Simplify the equation.

To further simplify, combine the like terms.

$\begin{array}{l}15-15-z=0-15\\ 0-z=-15\\ -z=-15\end{array}$

Step 4. Multiply by -1.

In order to obtain z, multiply the equation $-z=-15$ from both sides with $-1$.

Step 5. Verify the value.

In order to verify the value of z, substitute 15 for z into the equation $15-z=0$.

$\begin{array}{l}15-\left(15\right)=0\\ 0=0\text{ True}\end{array}$

Hence, the value of the variable is $z=15$.