Question

Logical Reasoning Copy and complete the steps for solving the equations shown. Use properties to justify as many steps as possible.

Short answer

$\begin{array}{l}5t-24=8t\underset{¯}{\text{writetheoriginalequation}}\\ 5t-24-5t=8t-5t\underset{¯}{\text{subtract5tfrombothsides}}\\ -24=3t\underset{¯}{\text{simplify}}\\ -\frac{24}{3}=\frac{3t}{3}\underset{¯}{\text{divideeachsideby3}}\\ -8\text{=}t\underset{¯}{\text{simplify}}\end{array}$

Step-by-step solution

Step-1 – Given

The given steps are:

Step-2 – To determine

We have to find the proper reasons for the given steps.

Step-3 – Calculation

The reasons for each step are as follows,

$\begin{array}{l}5t-24=8t\text{writetheoriginalequation}\\ 5t-24-5t=8t-5t\text{subtract}5t\text{frombothsides}\\ -24=3t\text{simplify}\\ -\frac{24}{3}=\frac{3t}{3}\text{divideeachsideby3}\\ -8=t\text{simplify}\end{array}$