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Chapter 3: Q. 29 (page 122)

Solve the equation. Check your solution.

-5.7+2.6d=-14.02

Short Answer

Expert verified

The solution for the equation -5.7+2.6d=-14.02 is d=-3.2.

Step by step solution

01

.  Separate the variable and constants

Write the original equation and separate the variables.

鈭�5.7+2.6d=鈭�14.022.6d=鈭�14.02+5.72.6d=鈭�8.32

02

.  Solve for d

Now, divide both sides of the equation by -2.6.

2.6d2.6=鈭�8.322.6d=鈭�3.2

Therefore, the solution of the equation is d=-3.2.

03

.  Check the solution 

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

-5.7+2.6d=-14.02

Now, substitute d=-3.2and check the result.

鈭�5.7+2.6鈭�3.2=鈭�14.02鈭�5.7鈭�8.32=鈭�14.02鈭�14.02=鈭�14.02

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

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