Question 1061997: how to solve x+3/y+3-x/y=1/15 with x=y-6
Answer by Boreal(15235)   (Show Source):
You can put this solution on YOUR website! x+3/y+3-x/y=1/15 with x=y-6. Substitute
(y-6+3)/(y+3)-(y-6)/y=(1/15)
multiply everything by (y+3)(y)(15)
(y-3)(15(y)-(y-6)(y+3)15=y(y+3)
15y^2-45y-15y^2-45y+90y+270=y^2+3y
270=y^2+3y
y^2+3y-270=0
(y+18)(y-15)=0
y=-18,15
x=-24,9
(9,15) is one pair
12/18-9/15=1/15. That is 2/3-3/5=10/15-9/15=1/15 check
(-24,-18) is the other pair.
That is -21/-15 -(-24/-18)=(7/5)-(4/3)=(21/15)-(20/15)=1/15
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