Q25 - Geometry

Question

Find the value of the variable.

$60=6t+12$

Step-by-Step Solution

Answer

The value of the variable is $\mathit{t}\mathbf{=}\mathbf{8}$.

Step 1. Subtract 12.

To find the value of variable t in the equation $60=6t+12$, subtract 12 from both sides of the equation.

$60-\left(12\right)=6t+12-\left(12\right)$

Step 2. Simplify the equation.

To simplify, remove all the brackets and combine the like terms.

$\begin{array}{l}60-12=6t+12-12\\ 48=6t\end{array}$

Step 3. Divide by 6.

To find the value of variable t in the equation $48=6t$, divide both sides of the equation by 6.

$\frac{48}{6}=\frac{6t}{6}$

Step 4. Simplify the equation.

To further simplify, cancel the common factors of 6 on both sides.

$\begin{array}{l}\frac{6\times 8}{6}=\frac{6t}{6}\\ 8=t\end{array}$

Step 5. Verify the value.

In order to verify the value of t, substitute 8 for t into the equation $60=6t+12$.

$\begin{array}{l}60=6\times 8+12\\ 60=48+12\\ 60=60\text{ True}\end{array}$

Hence, the value of the variable is $t=8$.