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Chapter 3: Q. 28 (page 122)

Solve the equation. Check your solution.

54.7=-9.3n+8.2

Short Answer

Expert verified

The solution for the equation 54.7=-9.3n+8.2is n=-5.

Step by step solution

01

.  Separate the variable and constants

Write the original equation and separate the variables.

54.7=鈭�9.3n+8.254.7鈭�8.2=鈭�9.3n46.5=鈭�9.3n

02

.  Solve for n

Now, divide both sides of the equation by -9.3.

46.5鈭�9.3=鈭�9.3n鈭�9.346.5鈭�9.3=n鈭�5=nn=鈭�5

Therefore, the solution of the equation is n=-5.

03

.  Check the solution 

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

54.7=-9.3n+8.2

Now, substituten=-5and check the result.

54.7=鈭�9.3鈭�5+8.254.7=鈭�9.3鈭�5+8.254.7=46.5+8.254.7=54.7

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

54.7=鈭�9.3鈭�5+8.254.7=鈭�9.3鈭�5+8.254.7=46.5+8.254.7=54.7

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