SOLUTION: 4/5 = -11r - 2/3

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Question 139523: 4/5 = -11r - 2/3
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

4%2F5=-11r-2%2F3 Start with the given equation



%2815%29%284%2F5%29=%2815%29%28-11r-2%2F3%29 Multiply both sides by the LCM of 15. This will eliminate the fractions (note: if you need help with finding the LCM, check out this solver)



12=-165r-10 Distribute and multiply the LCM to each side



0=-165r-10-12Subtract 12 from both sides


%2B165r=-10-12 Add 165r to both sides


165r%2B0=-22 Combine like terms on the right side


r=%28-22%29%2F%28165%29 Divide both sides by 165 to isolate r



r=-2%2F15 Reduce

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Answer:
So our answer is r=-2%2F15 (which is approximately r=-0.1333 in decimal form)