A fraction becomes 4/5, if 2 is added to both numerator and denominator, if however 4 is subtracted from both numerator and denominator, then the fraction becomes 1/2. The algebraic representation of situation is
) 5 − 4 + 2 = 0 , − = 0
) 5 − 4 + 2 = 0 , 2 − − 4 = 0
) + 4 = 0 , + 2 = 0
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The algebraic representation of situation is 5x-4y+2=0 and 2x-y-4=0
Step-by-step explanation:
Lets take numerator as x
lets take denominator as y
so, When 2 is added the equation becomes
x+2/y+2 = 4/5
= 5x+10=4y+8
= 5x-4y+2=0 (i)
When 4 is subtracted from both
x-4/y-4 = 1/2
=2x-8=y-4
=2x-y-4=0 (ii)
So, equation (i) & equation (ii) are the algebraic equation
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