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Chapter 3: Q30. (page 127)

Solve the equation. Check your solution.2m+0.5(m-4)=9

Short Answer

Expert verified

The solution for the equation2m+0.5(m鈭�4)=9 ism=4.4 .

Step by step solution

01

– Separate the variable and constants

Write the original equation and separate the variable and constants.

2m+0.5(m鈭�4)=92m+0.5m鈭�2=9[distributiveproperty]2.5m鈭�2=9[combineliketerms]2.5m鈭�2+2=9+2[add2toeachside]2.5m=11

02

– Solve for m

Now, divide both sides of the equation by 2.5.

2.5m梅2.5=11梅2.5m=4.4

Therefore, the solution of the equation ism=4.4 .

03

– Check the solution 

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

2m+0.5(m鈭�4)=9

Now, substitute m=4.4and check the result.

2脳4.4+0.5(4.4鈭�4)=98.8+0.5脳0.4=98.8+0.2=99=9

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

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