What is the answer to 7/(x-9)= 3/(4-x) ?

The answer to 7/(x-9)= 3/(4-x) is x= 11/2

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7/(x-9)= 3/(4-x)

\frac{7}{x - 9} = \frac{3}{4 - x}

x = \frac{11}{2}

Decimal Notation

x = 5.5

Solution steps

\frac{7}{x - 9} = \frac{3}{4 - x}

Cross multiply

28 - 7 x = 3 x - 27

Move

28

to the right side

- 7 x = 3 x - 55

Move

3 x

to the left side

- 10 x = - 55

Divide both sides by

- 10

x = \frac{11}{2}

Verify Solutions

Find undefined (singularity) points:

x = 9, x = 4

Combine undefined points with solutions:

x = \frac{11}{2}

\frac{x ^{2} - 9}{7 x + 10} = 0

\frac{9}{x} = \frac{27}{6}

t, y = (1 + a t) (Ct)^{- 2}

\frac{15}{z} = \frac{4}{8}

d, \frac{ab}{d} + c = e

What is the answer to 7/(x-9)= 3/(4-x) ?
The answer to 7/(x-9)= 3/(4-x) is x= 11/2
Solve for x: 7/(x-9)= 3/(4-x)
The solution is x= 11/2