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Chapter 3: Q24. (page 127)

Solve the equation. Check your solution.-40-(2x+5)=-61

Short Answer

Expert verified

The solution for the equation 鈭�40鈭�(2x+5)=鈭�61isx=8 .

Step by step solution

01

– Separate the variable and constants

Write the original equation and separate the variable and constants.

鈭�40鈭�(2x+5)=鈭�61鈭�40鈭�2x鈭�5=鈭�61[distributiveproperty]鈭�2x鈭�45=鈭�61[combineliketerms]鈭�2x鈭�45+45=鈭�61+45[add45toeachside]鈭�2x=鈭�16

02

– Solve for x

Now, divide both sides of the equation by -2.

鈭�2x梅(鈭�2)=鈭�16梅(鈭�2)x=8

Therefore, the solution of the equation isx=8.

03

– Check the solution 

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

鈭�40鈭�(2x+5)=鈭�61

Now, substitute x=8and check the result.

鈭�40鈭�(2脳8+5)=鈭�61鈭�40鈭�(16+5)=鈭�61鈭�40鈭�21=鈭�61鈭�61=鈭�61

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

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