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Chapter 3: Q. 31 (page 122)

Solve the equation. Check your solution.

9.1=k3.7+4.1

Short Answer

Expert verified

The solution for the equation 9.1=k3.7+4.1 is k=18.5.

Step by step solution

01

.  Separate the variable and constants

Write the original equation and separate the variables.

9.1=k3.7+4.19.1鈭�4.1=k3.75=k3.7

02

.  Solve for k

Now, multiply both sides of the equation by 3.7.

5脳3.7=k3.7脳3.75脳3.7=kk=18.5

Therefore, the solution of the equation is k=18.5.

03

.  Check the solution 

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

3.2r+14.7=-6.74

Now, substitute k=18.5and check the result.

9.1=18.53.7+4.19.1=5+4.19.1=9.1

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

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