What is the answer to (27)/(3(p+120))=(37)/(9(p-20)) ?

The answer to (27)/(3(p+120))=(37)/(9(p-20)) is p= 1515/11

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(27)/(3(p+120))=(37)/(9(p-20))

\frac{27}{3 ( p + 120 )} = \frac{37}{9 ( p - 20 )}

p = \frac{1515}{11}

Decimal Notation

p = 137.72727 \dots

Solution steps

\frac{27}{3 ( p + 120 )} = \frac{37}{9 ( p - 20 )}

Cross multiply

81 p - 1620 = 37 p + 4440

Move

1620

to the right side

81 p = 37 p + 6060

Move

37 p

to the left side

44 p = 6060

Divide both sides by

44

p = \frac{1515}{11}

Verify Solutions

Find undefined (singularity) points:

p = - 120, p = 20

Combine undefined points with solutions:

p = \frac{1515}{11}

x, ff = \frac{3}{x ^{2}}

a = \frac{1}{2 ( 1 + x )}

\frac{6}{x} - \frac{1}{4} = - \frac{1}{2}

a, \frac{2}{a} + \frac{3}{b} = 1

\frac{30}{x} = 0.15

What is the answer to (27)/(3(p+120))=(37)/(9(p-20)) ?
The answer to (27)/(3(p+120))=(37)/(9(p-20)) is p= 1515/11
Solve for p: (27)/(3(p+120))=(37)/(9(p-20))
The solution is p= 1515/11