Question

Use a calculator to solve the equation. Check your solution.

19.5 + 0.5t = 10.6206 – 0.4t

Short answer

The solution for the equation is $t=-9.866$

Step-by-step solution

Step-1 – Given

The given equation is $19.5+0.5t=10.6206-0.4t$.

Step-2 – To determine

We have to solve the equation using a calculator

Step-3 – Calculation

We first make one side equal to 0.

$\begin{array}{l}19.5+0.5t=10.6206-0.4t\\ 19.5+0.5t-10.6206=10.6206-0.4t-10.6206\text{[Subtract10.6206fromeachsides]}\\ 8.8794+0.5t=-0.4t\text{[Simplify]}\\ 8.8794+0.5t+0.4t=-0.4t+0.4t\text{[Add}0.4t\text{toeachsides]}\\ 8.8794+0.9t=0\text{[Simplify]}\end{array}$

Then we subtract 8.8794 from both sides

So, we get: $0.9t=-8.8794$

Then divide both sides by 0.9

$\begin{array}{l}\frac{0.9t}{0.9}=\frac{-8.8794}{0.9}\\ t=-9.866\end{array}$

So the solution of the equation is $t=-9.866$