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Chapter 3: Q. 2 (page 131)

Solve the equation. Check your solution.

8y+4=11y-17

Short Answer

Expert verified

The solution for the equation 8y+4=11y鈭�17isy=7 .

Step by step solution

01

– Separate the variable and constants

Write the original equation and separate the variable and constants.

8y+4=11y鈭�178y+4鈭�8y=11y鈭�17鈭�8y[Substract8yfromeachside.]4=3y鈭�17[Simplify.]4+17=3y鈭�17+17[Add17oneachside.]21=3y[Simplify.]

02

– Solve for y

Now, divide both sides of the equation by 3.

213=3y3y=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.

8y+4=11y鈭�17

Now, substitute y=7and check the result.

8(7)+4=11(7)鈭�1756+4=77鈭�1760=60

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

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