SOLUTION: i know how to do algebra problems using the addition method, however i can not get the answer to one question the problem is 1/4x -1/6y=-1 -1/18x +

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Question 651677: i know how to do algebra problems using the addition method, however i can not get the answer to one question
the problem is 1/4x -1/6y=-1

-1/18x +1/15y=2


x= 36 y= ? i can not even find x. someone gave me the answercan you show me how to work this out. thank you
Found 2 solutions by Edwin McCravy, MathTherapy:
Answer by Edwin McCravy(20055)   (Show Source): You can put this solution on YOUR website!


First remove the fractions by multiplying the first equation through
by 6 and the second equation though by 90



Next multiply the first equation through by 6



Now add corresponding terms and the y-terms cancel

31x = 144
  x = 

Since that is a bad fraction, and hard to substitute,
go back to



and eliminate x by multiplying the first equation by 5
and the second equation through by 6



Now add corresponding terms and the y-terms cancel

31y = 1050
  y = 

Edwin
Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

i know how to do algebra problems using the addition method, however i can not get the answer to one question
the problem is 1/4x -1/6y=-1

-1/18x +1/15y=2


x= 36 y= ? i can not even find x. someone gave me the answercan you show me how to work this out. thank you


3x – 2y = - 12 ----- Multiplying by LCD, 12 ----- eq (i)


- 5x + 6y = 180 ------ Multiplying by LCD, 90 ------- eq (ii)
9x – 6y = - 36 ------ Multiplying eq (i) by 3 ---- eq (iii)
4x = 144 ------ Adding eqs (iii) & (ii)

x = , or

3(36) – 2y = - 12 ------ Substituting 36 for x in eq (i)
108 – 2y = - 12
– 2y = - 12 – 108
– 2y = - 120

y = , or

You can do the check!!

Send comments and “thank-yous” to “D” at MathMadEzy@aol.com
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