SOLUTION: Find the value of Y 30. 6 + 1/y + 1 = 6/y + 3

Question 171821: Find the value of Y
30. 6 + 1/y + 1 = 6/y + 3
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Start with the given equation.

Multiply EVERY term on both sides by the LCD . Doing this will eliminate all of the fractions.

Simplify

FOIL

Distribute

Subtract 6y from both sides. Subtract 6 from both sides.

Combine like terms.

Notice we have a quadratic equation in the form of where , , and

Let's use the quadratic formula to solve for y

Start with the quadratic formula

Plug in , , and

Square to get .

Multiply to get

Subtract from to get

Multiply and to get .

Take the square root of to get .

or Break up the expression.

or Combine like terms.

or Simplify.

So the answers are or
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