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Chapter 3: Q. 15 (page 122)

Solve the equation. Check your solution.

18-r=42

Short Answer

Expert verified

The solution for the equation18-r=42isr=-24.

Step by step solution

01

.  Separate the variable and constants

Write the original equation and separate the variables.

18鈭�r=42鈭�r=42鈭�18

02

.  Solve for r

Now, multiply both sides of the equation by -1.

鈭�r脳鈭�1=24脳鈭�1r=鈭�24

Therefore, the solution of the equation isr=-24.

03

.  Check the solution 

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

18-r=42

Now, substitute r=-24and check the result.

18鈭�鈭�24=4218+24=4242=42

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

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