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Edward Sporer

Lvl 10
3y ago
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Wiki User

12y ago

x = (y+2)/(y-3)

Multiply both sides by (y-3): x*(y-3) = y+2

Simplify: xy-3x = y+2

Bring all terms containing y to one side and all those not containing y to the other side by adding or subtracting suitable numbers to both sides of the equation

add 3x: xy = 3x+y+2

subtract y: xy-y = 3x+2

factorise left hand side: y(x-1) = 3x+2

divide both sides by x-1: y = (3x+2)/(x-1)

You can only carry out the last step, division by x-1, when x is not 1. For if x=1 then x-1 is zero and division by zero is not defined.

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Q: How do you solve x equals y plus 2 divided by y-3 for y?
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