SOLUTION: Solve using the substitution method 1/3 x - 1/5 y = 7 1/6 x + 2/5 y = -4 Not sure how to work substitution method using fractions. Need to find answer for both variables sepe

Algebra ->  Expressions-with-variables -> SOLUTION: Solve using the substitution method 1/3 x - 1/5 y = 7 1/6 x + 2/5 y = -4 Not sure how to work substitution method using fractions. Need to find answer for both variables sepe      Log On


   



Question 496042: Solve using the substitution method
1/3 x - 1/5 y = 7
1/6 x + 2/5 y = -4
Not sure how to work substitution method using fractions.
Need to find answer for both variables seperately.

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Solve using the substitution method
1/3 x - 1/5 y = 7
1/6 x + 2/5 y = -4
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Then eliminate the fractions and go from there.
1/3 x - 1/5 y = 7
times 15 --> 5x - 3y = 105
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1/6 x + 2/5 y = -4
times 30 --> 5x + 12y = -120
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5x - 3y = 105 --> 5x = 3y + 105
5x + 12y = -120
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Sub for 5x in the 2nd eqn
(3y+105) + 12y = -120
15y = -225
y = -15
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Sub for y in any eqn and find x