SOLUTION: The numerator of a fraction is 2 less than the denominator. if 3 is added both numerator and denominator, the fraction becomes 3/4 . Find the fraction
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Question 825163: The numerator of a fraction is 2 less than the denominator. if 3 is added both numerator and denominator, the fraction becomes 3/4 . Find the fraction
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
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x/y
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x = y - 2
(x + 3)/(y + 3) = 3/4
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put the system of linear equations into standard form
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x - y = -2
4(x + 3) = 3(y + 3)
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x - y = -2
4x + 12 = 3y + 9
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x - y = -2
4x - 3y = -3
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x = 3
y = 5
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system matrix
1 -1
4 -3
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inverse of system matrix
-3 1
-4 1
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determinant of system matrix = 1
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answer:
the fraction = 3/5
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