SOLUTION: Could you help solve: 8/x-5/y=51/14 6/x+(-10)/y=-(29/7)

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Question 151299: Could you help solve:
8/x-5/y=51/14 6/x+(-10)/y=-(29/7)

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Start with the first equation.


Multiply both sides by . This will eliminate the fractions.


Distribute and multiply


Subtract from both sides.


Factor out from the right side.


Divide both sides by .



So after isolating y of the first equation, we get



---------------------------------

Move onto the second equation


Plug in . In other words, replace "y" with


Multiply the numerator "-10" by the reciprocal of the fraction in the denominator.


Distribute


Simplify.


Multiply both sides by . This will eliminate the fractions.


Simplify


Subtract from both sides.


Combine like terms.


Divide both sides by -800.


Reduce. So this is the first part of the answer.


Go back to the first isolated equation


Plug in


Multiply and reduce


Subtract


Multiply the first fraction by the reciprocal of the second fraction.


Multiply and reduce



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Answer:

So the answer is and which forms the ordered pair




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