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

Solve the equation. Check your solution.
$13 y + 19 = 54 + 6 y + 14$

The solution for the equation $13 y + 19 = 54 + 6 y + 14$ is $y = 7$ .

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1 – Separate the variable and constants

Write the original equation and separate the variable and constants.

$\begin{matrix} 13 y + 19 = 54 + 6 y + 14 \\ 13 y + 19 - 19 = + 6 y + 68 - 19 (Subtract 19 from both sides) \\ 13 y + 0 = 6 y + 49 (Simplify) \\ 13 y - 6 y = 6 y - 6 y + 49 (Subtract 6y from both sides) \\ 7 y = 49 (Simplify) \end{matrix}$

Step 2 – Solve for y

Now, divide both sides of the equation by 7.

\begin{matrix} \frac{7 y}{7} = \frac{49}{7} \\ y = 7 \end{matrix}

Therefore, the solution of the equation is $y = 7$ .

Step 3 – Check the solution

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

$13 y + 19 = 54 + 6 y + 14$

Now, substitute $y = 7$ and check the result.

\begin{matrix} 13 \times 7 + 19 = 54 + 6 \times 7 + 14 \\ 91 + 19 = 54 + 42 + 14 \\ 110 = 110 \end{matrix}

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

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Pre-algebra

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Short Answer

Solve the equation. Check your solution.
$13 y + 19 = 54 + 6 y + 14$

Step by Step Solution

Step 1 – Separate the variable and constants

Step 2 – Solve for y

Step 3 – Check the solution

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Pre-algebra

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Short Answer

Solve the equation. Check your solution.13y+19=54+6y+14

Step by Step Solution

Step 1 – Separate the variable and constants

Step 2 – Solve for y

Step 3 – Check the solution

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Solve the equation. Check your solution.
$13 y + 19 = 54 + 6 y + 14$