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Chapter 3: Q. 3C (page 131)

Solve the equation. Check your solution.

m-1=9m+15

Short Answer

Expert verified

The solution for the equationm鈭�1=9m+15 ism=鈭�2.

Step by step solution

01

– Separate the variable and constants

Write the original equation and separate the variable and constants.

m鈭�1=9m+15m鈭�1鈭�m=9m+15鈭�m[Substractmfromeachside.]鈭�1=8m+15[Simplify.]鈭�1鈭�15=8m+15鈭�15[Substract15fromeachside.]鈭�16=8m[Simplify.]

02

– Solve for m

Now, divide both sides of the equation by 8.

鈭�168=8m8m=鈭�2

Therefore, the solution of the equation is .m=鈭�2

03

– Check the solution 

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

m鈭�1=9m+15

Now, substitute m=鈭�2and check the result.

鈭�2鈭�1=9鈭�2+15鈭�3=鈭�18+15鈭�3=鈭�3

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

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