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Chapter 3: Q3C. (page 120)

Solve the equation. Check your solution.

1=2r+9

Short Answer

Expert verified

The solution for the equation 1=2r+9isr=鈭�4r=鈭�4.

Step by step solution

01

– Separate the variables and constants

Write the original equation and separate the variables.

1=2r+91鈭�9=2r鈭�8=2r

02

– Solve for n

Divide both sides of the equation 鈭�8=2rby 2.

鈭�82=2r2r=鈭�4鈭�82=2r2r=鈭�4

Therefore, the solution of the equation isr=鈭�4r=鈭�4.

03

– Check the solution 

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

1=2r+91=2r+9

Now, substituter=鈭�4and check the result.

1=2(鈭�4)+91鈭�9=2(鈭�4)鈭�8=2(鈭�4)鈭�8=鈭�81=2(鈭�4)+91鈭�9=2(鈭�4)鈭�8=2(鈭�4)鈭�8=鈭�8

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

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