What is the answer to y/(y-3)+6/(y+3)=1 ?

The answer to y/(y-3)+6/(y+3)=1 is y=1

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y/(y-3)+6/(y+3)=1

Solution

\frac{y}{y - 3} + \frac{6}{y + 3} = 1

Solution

y = 1

Solution steps

\frac{y}{y - 3} + \frac{6}{y + 3} = 1

Multiply by LCM

y (y + 3) + 6 (y - 3) = (y - 3) (y + 3)

Expand

y (y + 3) : y^{2} + 3 y

y^{2} + 3 y + 6 (y - 3) = (y - 3) (y + 3)

Expand

6 (y - 3) : 6 y - 18

y^{2} + 3 y + 6 y - 18 = (y - 3) (y + 3)

Add similar elements:

3 y + 6 y = 9 y

y^{2} + 9 y - 18 = (y - 3) (y + 3)

Expand

(y - 3) (y + 3) : y^{2} - 9

y^{2} + 9 y - 18 = y^{2} - 9

Move

18

to the right side

y^{2} + 9 y = y^{2} + 9

Move

y^{2}

to the left side

9 y = 9

Divide both sides by

9

y = 1

Verify Solutions

Find undefined (singularity) points:

y = 3, y = - 3

Combine undefined points with solutions:

y = 1

Graph

Popular Examples

solvefor y,9xy=x^3+1/y solve for

y, 9 x y = x^{3} + \frac{1}{y}

4/r = 8/h

\frac{4}{r} = \frac{8}{h}

0=2n-(16000)/(n^2)

0 = 2 n - \frac{16000}{n ^{2}}

2-4/(x^2)=0

2 - \frac{4}{x ^{2}} = 0

2/x = 3/(x+1)

\frac{2}{x} = \frac{3}{x + 1}

Frequently Asked Questions (FAQ)

What is the answer to y/(y-3)+6/(y+3)=1 ?
The answer to y/(y-3)+6/(y+3)=1 is y=1
Solve for y: y/(y-3)+6/(y+3)=1
The solution is y=1

y/(y-3)+6/(y+3)=1

Solution

Solution

Graph

Popular Examples

Frequently Asked Questions (FAQ)

What is the answer to y/(y-3)+6/(y+3)=1 ?

Solve for y: y/(y-3)+6/(y+3)=1