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Please help, I've been trying to solve this for an hour now: x = (y+5)/(y-3) Find y?
I can't figure out how I'm supposed to factor this thing out, or even if that's what I'm supposed to do. The answer is (3x+5)/(x-1), but I can't for the life me get it! If you do provide me with a solution (I'd be very grateful!) Please give me some tips and pointers on how to solve other problems like this. Any input is appreciated!
3 Answers
- ?Lv 76 years agoFavorite Answer
x = (y+5)/(y-3)
x(y-3) = y+5
xy - 3x = y + 5
xy - y = 3x + 5
y(x-1) = 3x+5
y = (3x+5)/(x-1)
- MorningfoxLv 76 years ago
Start with x = (y+5) / (y-3)
Multiply both sides by (y-3)
x ( y-3) = (y+5)
xy -3x = y + 5
Subtract y + 5 from both sides
xy - 3x - y -5 = 0
Group the terms with y in them
(xy - y) -3x - 5
Add 3x + 5 to both sides
(xy - y) = 3x + 5
(xy -y) = (3x +5)
Factor out the y
y (x-1) = (3x + 5)
Divide both sides by x -1
y = (3x + 5) / (x - 1)
Notice: this is not valid if x = 1
- ThomasLv 76 years ago
multiply both sides by (y-3)...
xy-3x=y+5 now add 3x to both sides
xy=y+3x+5 subtract y from both sides
xy-y=3x+5 factor the left side....
y(x-1)=3x+5 now divide both sides by (x-1)
y=(3x+5)/(x-1)
