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Chapter 3: Q. 6E (page 133)

Solve the equation. Check your solution.

114+5y=50-4y

Short Answer

Expert verified

The solution for the equation114+5y=50鈭�4y isy=4 .

Step by step solution

01

– Separate the variable and constants

Write the original equation and separate the variable and constants.

114+5y=50鈭�4y14+5y鈭�5y=50鈭�4y鈭�5y[Substract5yfromeachside.]14=50鈭�9y[Simplify.]14鈭�50=50鈭�9y鈭�50[Subtract50fromeachside.]鈭�36=鈭�9y[Simplify.]

02

– Solve for y

Now, divide both sides of the equation by 9.

鈭�369=鈭�9y9y=4

Therefore, the solution of the equation isy=4 .

03

– Check the solution 

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

114+5y=50鈭�4y

Now, substitute y=4and check the result.

14+5(4)=50鈭�4(4)14+20=50鈭�1634=34

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

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