SOLUTION: The length of a spring is given by L= 3/4 F + 8, where F is the applied force. What force will produce a 10. I believe the answer will have to be a decimal. Thank you.

Question 93210: The length of a spring is given by L= 3/4 F + 8, where F is the applied force. What force will produce a 10. I believe the answer will have to be a decimal. Thank you.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given equation

Plug in L=10

Multiply both sides by the LCM of 4. This will eliminate the fractions (note: if you need help with finding the LCM, check out this solver)

Distribute and multiply 4 by each term on both sides

Subtract 40 from both sides

Subtract 3F from both sides

Combine like terms -40 and 32 on the right side to get -8

Now divide both sides by -3 to isolate and solve for F

Reduce

So the approximate answer is

which rounds to

So the force needed is about

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