What is the answer to -(10)/(p-4)= 3/(p-6) ?

The answer to -(10)/(p-4)= 3/(p-6) is p= 72/13

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-(10)/(p-4)= 3/(p-6)

- \frac{10}{p - 4} = \frac{3}{p - 6}

p = \frac{72}{13}

Decimal Notation

p = 5.53846 \dots

Solution steps

- \frac{10}{p - 4} = \frac{3}{p - 6}

Cross multiply

- 10 p + 60 = 3 p - 12

Move

60

to the right side

- 10 p = 3 p - 72

Move

3 p

to the left side

- 13 p = - 72

Divide both sides by

- 13

p = \frac{72}{13}

Verify Solutions

Find undefined (singularity) points:

p = 4, p = 6

Combine undefined points with solutions:

p = \frac{72}{13}

\frac{( 4 n - 2 )}{2 n} = 7

1 - \frac{16}{x ^{2}} = 0

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

\frac{x - 7}{x + 9} = \frac{1}{x - 2}

\frac{5}{2 y} = \frac{10}{5 y - 8}

What is the answer to -(10)/(p-4)= 3/(p-6) ?
The answer to -(10)/(p-4)= 3/(p-6) is p= 72/13
Solve for p: -(10)/(p-4)= 3/(p-6)
The solution is p= 72/13