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Chapter 3: Q. 19 (page 122)

Solve the equation. Check your solution.

-5=-19-x7

Short Answer

Expert verified

The solution for the equation-5=-19-x7is x=-98. x=-98.

Step by step solution

01

.  Separate the variable and constants

Write the original equation and separate the variables.

鈭�5=鈭�19鈭�x7鈭�5+19=鈭�x714=鈭�x7

02

.  Solve for x

Now, multiply both sides of the equation by 7.

14脳7=鈭�x7脳714脳7=鈭�x98=鈭�xx=鈭�98

Therefore, the solution of the equation isx=-98.

03

. Check the solution 

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

-5=-19-x7

Now, substitute x=-98and check the result.

鈭�5=鈭�19鈭�鈭�987鈭�5=鈭�19+987鈭�5=鈭�19+14鈭�5=鈭�5

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

鈭�5=鈭�19鈭�鈭�987鈭�5=鈭�19+987鈭�5=鈭�19+14鈭�5=鈭�5

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