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Q4.

Expert-verified

Pre-algebra

Found in: Page 120

Book edition Common Core Edition

Author(s) Ron Larson, Laurie Boswell, Timothy D. Kanold, Lee Stiff

Pages 183 pages

ISBN 9780547587776

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Short Answer

Check your solution.
$2 = 6 h + 20$

The solution for the equation $2 = 6 h + 20$ is $h = - 3$ .

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1 – Separate the variables and constants

Write the original equation and separate the variables.

$\begin{array}{l} 2 = 6 h + 20 \\ 2 - 20 = 6 h \\ - 18 = 6 h \end{array}$

Step 2 – Solve for n

Divide both sides of the equation $- 18 = 6 h$ by 6.

$\begin{array}{l} \frac{- 18}{6} = \frac{6 h}{6} \\ h = - 3 \end{array}$

Therefore, the solution of the equation is $h = - 3$ .

Step 3 – Check the solution

To check the solution, write the original equation and substitute the value of $h$ .

$2 = 6 h + 20$

Now, substitute $h = - 3$ and check the result.

$\begin{array}{l} 2 = 6 (- 3) + 20 \\ 2 - 20 = 6 (- 3) \\ - 18 = 6 (- 3) \\ - 18 = - 18 \end{array}$

As the left-hand side is equal to right hand side, this signifies that the solution is correct.

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