What is the answer to 1/3+3/p =1 ?

The answer to 1/3+3/p =1 is p= 9/2

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1/3+3/p =1

\frac{1}{3} + \frac{3}{p} = 1

p = \frac{9}{2}

Decimal Notation

p = 4.5

Solution steps

\frac{1}{3} + \frac{3}{p} = 1

Multiply by LCM

p + 9 = 3 p

Move

9

to the right side

p = 3 p - 9

Move

3 p

to the left side

- 2 p = - 9

Divide both sides by

- 2

p = \frac{9}{2}

Verify Solutions

Find undefined (singularity) points:

p = 0

Combine undefined points with solutions:

p = \frac{9}{2}

\frac{( m ^{6} + ( - 2 ) )}{1 + m} = 0

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

\frac{1}{x} = \frac{8}{13}

x, x y^{2} = \frac{1}{x}

- \frac{6}{b} - 50 = - 49