Chapter 3: Q40. (page 133)

Use a calculator to solve the equation. Check your solution.
19.5 + 0.5t = 10.6206 – 0.4t

Short Answer

Expert verified

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

Step by step solution

Step-1 – Given

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

Step-2 – To determine

We have to solve the equation using a calculator

Step-3 – Calculation

We first make one side equal to 0.

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

Then we subtract 8.8794 from both sides

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

Then divide both sides by 0.9

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

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

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Use a calculator to solve the equation. Check your solution.
19.5 + 0.5t = 10.6206 – 0.4t

Short Answer

Step by step solution

Step-1 – Given

Step-2 – To determine

Step-3 – Calculation

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Use a calculator to solve the equation. Check your solution.19.5 + 0.5t = 10.6206 – 0.4t

Short Answer

Step by step solution

Step-1 – Given

Step-2 – To determine

Step-3 – Calculation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Calculus

Discrete Mathematics

Pure Maths

Logic and Functions

Probability and Statistics

Study anywhere. Anytime. Across all devices.

Use a calculator to solve the equation. Check your solution.
19.5 + 0.5t = 10.6206 – 0.4t