SOLUTION: 8-(5/y+2)=1/y+1

Question 180894: 8-(5/y+2)=1/y+1
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given equation.

Multiply EVERY term by the LCD to clear out the fractions.

Multiply and simplify

FOIL

Distribute

Subtract y from both sides. Subtract 2 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

RELATED QUESTIONS
1 y - = - - 8... (answered by JBarnum)

-4/Y-1+4/Y+1=-8/y^2-1 (answered by JoelSchwartz)

1/4(y+8)=5 (answered by rahman)

5+1/y /... (answered by fractalier)

-1/8(y+3)=-1/5(y+1/6) (answered by unlockmath)

1/(y-4)-2/(y-8)=-1/(y+6) (answered by bucky)

Perform the indicated operations and simplify fractions... (answered by jojo14344)

Could you check my work?y=2x+5 (8, ) (-1, ) ( ,1) (8, ) y= 2*8 + 5 y= 16 + 5 y=21 (answered by Alan3354)

y-3/y+8=1/5 SOLVE FOR... (answered by josmiceli)