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Chapter 3: Q35. (page 133)

Solve the equation. Check your solution.

13y+19=54+6y+14

Short Answer

Expert verified

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

Step by step solution

01

– Separate the variable and constants

Write the original equation and separate the variable and constants.

13y+19=54+6y+1413y+19鈭�19=+6y+68鈭�19Subtract19frombothsides13y+0=6y+49Simplify13y鈭�6y=6y鈭�6y+49Subtract6yfrombothsides7y=49Simplify

02

– Solve for y

Now, divide both sides of the equation by 7.

7y7=497y=7

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

03

– Check the solution 

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

13y+19=54+6y+14

Now, substitute y=7and check the result.

13脳7+19=54+6脳7+1491+19=54+42+14110=110

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

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