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Chapter 3: Q29. (page 127)

Solve the equation. Check your solution.-5=0.25(4+20r)-8r

Short Answer

Expert verified

The solution for the equation 鈭�5=0.25(4+20r)鈭�8risr=2 .

Step by step solution

01

– Separate the variable and constants

Write the original equation and separate the variable and constants.

鈭�5=0.25(4+20r)鈭�8r鈭�5=1+5r鈭�8r[distributiveproperty]鈭�5=1鈭�3r[combineliketerms]鈭�5鈭�1=1鈭�1鈭�3r[subtract1fromeachside]鈭�6=鈭�3r

02

– Solve for r

Now, divide both sides of the equation by -3.

鈭�6梅(鈭�3)=鈭�3r梅(鈭�3)2=rr=2

Therefore, the solution of the equation isr=2 .

03

– Check the solution 

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

鈭�5=0.25(4+20r)鈭�8r

Now, substitute r=2and check the result.

鈭�5=0.25(4+20r)鈭�8r鈭�5=0.25(4+20脳2)鈭�8脳2鈭�5=0.25(4+40)鈭�16鈭�5=0.25(44)鈭�16鈭�5=11鈭�16鈭�5=鈭�5

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

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