Chapter 2: Q13. (page 100)

Solve each equation. Check your solution.
$6 + 3 t = 8 t - 14$

Short Answer

Expert verified

The solution of the given equation is $t = 4$ .

Step by step solution

Step 1. Write the given equation.

The given equation is “ $6 + 3 t = 8 t - 14$ ”.

Step 2. Solve the given equation.

Solving,

$6 + 3 t = 8 t - 14$ (Given equation)

$6 + 3 t - 3 t = 8 t - 14 - 3 t$ (Subtract $3 t$ from both sides)

$6 = 5 t - 14$ (Simplify)

$6 + 14 = 5 t - 14 + 14$ (Add 14 to both sides)

$20 = 5 t$ (Simplify)

$\frac{20}{5} = \frac{5 t}{5}$ (Divide both sides by 5)

$4 = t$ (Simplify)

$t = 4$ (Write the variable on the left-hand side)

So, $t = 4$ is the solution of the given equation.

Step 3. Check the obtained solution.

Put $t = 4$ in the given equation $6 + 3 t = 8 t - 14$ to get,

$\begin{array}{l} 6 + 3 (4) = 8 (4) - 14 \\ 6 + 12 = 32 - 14 \\ 18 = 18 \end{array}$

Since the value obtained on the left-hand side and right-hand side are equal, the obtained value is indeed a solution of the given equation.

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Solve each equation. Check your solution.
$6 + 3 t = 8 t - 14$

Short Answer

Step by step solution

Step 1. Write the given equation.

Step 2. Solve the given equation.

Step 3. Check the obtained solution.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Theoretical and Mathematical Physics

Applied Mathematics

Probability and Statistics

Pure Maths

Mechanics Maths

Study anywhere. Anytime. Across all devices.

Solve each equation. Check your solution.6+3t=8t−14

Short Answer

Step by step solution

Step 1. Write the given equation.

Step 2. Solve the given equation.

Step 3. Check the obtained solution.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Theoretical and Mathematical Physics

Applied Mathematics

Probability and Statistics

Pure Maths

Mechanics Maths

Study anywhere. Anytime. Across all devices.

Solve each equation. Check your solution.
$6 + 3 t = 8 t - 14$