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Chapter 3: Q. 3E (page 133)

Solve the equation. Check your solution.

13m-22=9m-6

Short Answer

Expert verified

The solution for the equation 13m−22=9m−6ism=4

Step by step solution

01

– Separate the variable and constants

Write the original equation and separate the variable and constants.

13m−22=9m−613m−22−13m=9m−6−13m[Substract13mfromeachside.]−22=−4m−6[Simplify.]−22+6=−4m−6+6[Add6oneachside.]−16=−4m[Simplify.]

02

– Solve for m

Now, divide both sides of the equation by 4.

−164=−4m4m=4

Therefore, the solution of the equation ism=4 .

03

– Check the solution 

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

13m−22=9m−6

Now, substitute m=4and check the result.

13(4)−22=9(4)−652−22=36−630=30

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

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