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Found in: Page 133


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.


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

See the step by step solution

Step by Step Solution

Step 1 – Separate the variable and constants

Write the original equation and separate the variable and constants.

13y+19=54+6y+1413y+1919=+6y+6819 Subtract 19 from both sides13y+0=6y+49 Simplify13y6y=6y6y+49 Subtract 6y from both sides7y=49 Simplify

Step 2 – Solve for y

Now, divide both sides of the equation by 7.


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.


Now, substitute y=7 and check the result.


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

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