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Chapter 3: Q28. (page 127)

Solve the equation. Check your solution.-5g-(8-g)=12

Short Answer

Expert verified

The solution for the equation鈭�5g鈭�(8鈭�g)=12isg=鈭�5.

Step by step solution

01

– Separate the variable and constants

Write the original equation and separate the variable and constants.

鈭�5g鈭�(8鈭�g)=12鈭�5g鈭�8+g=12[distributiveproperty]鈭�4g鈭�8=12[combineliketerms]鈭�4g鈭�8+8=12+8[add8toeachside]鈭�4g=20

02

– Solve for g

Now, divide both sides of the equation by -4.

鈭�4g梅(鈭�4)=20梅(鈭�4)g=鈭�5

Therefore, the solution of the equation isg=鈭�5.

03

– Check the solution 

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

鈭�5g鈭�(8鈭�g)=12

Now, substitute g=鈭�5and check the result.

鈭�5(鈭�5)鈭�(8鈭�(鈭�5))=1225鈭�(8+5)=1225鈭�13=1212=12

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

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