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Chapter 1: Q27. (page 49)

Solve the equation and check the solution.

7+5n=-58

Short Answer

Expert verified

The solution is n=-13.

Step by step solution

01

Step 1- Consider the equation.

Consider the equation 7+5n=-58.

Add 58 on both sides of the equation.

02

Step 2- Step description.

7+5n=鈭�587+5n+58=鈭�58+587+5n+58=05n+65=0

03

Step 3- Step description.

Subtract -65from both sides of the equation as follows:

5n+65=05n+65鈭�65=鈭�655n=鈭�65

Divide both sides of the equation by 5

5n=鈭�65n=鈭�655n=鈭�13

Therefore, the solution is n=-13.

04

Step 4- Verify the solution.

Substitute n=-13in the equation and simplify as follows:

7+5n=鈭�587+5鈭�13=鈭�587鈭�65=鈭�58鈭�58=鈭�58

Since the left-hand side of the equation is equal to the right-hand side of the equation, therefore, the solution is n=-13.

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