What is the answer to (x-9)/(3x-1)=(x-9)/(x+33) ?

The answer to (x-9)/(3x-1)=(x-9)/(x+33) is x=9,x=17

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(x-9)/(3x-1)=(x-9)/(x+33)

\frac{x - 9}{3 x - 1} = \frac{x - 9}{x + 33}

x = 9, x = 17

Solution steps

\frac{x - 9}{3 x - 1} = \frac{x - 9}{x + 33}

Cross multiply

(x - 9) (x + 33) = (3 x - 1) (x - 9)

Solve

(x - 9) (x + 33) = (3 x - 1) (x - 9) : x = 9, x = 17

x = 9, x = 17

Verify Solutions

Find undefined (singularity) points:

x = \frac{1}{3}, x = - 33

Combine undefined points with solutions:

x = 9, x = 17

- 6 = \frac{e ^{\frac{- 1 + C}{- 1}}}{x}

\frac{3 x - 26}{7} = \frac{- 5}{x}

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

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

\frac{1}{x + 3} - \frac{1}{x + 4} = \frac{1}{6}

What is the answer to (x-9)/(3x-1)=(x-9)/(x+33) ?
The answer to (x-9)/(3x-1)=(x-9)/(x+33) is x=9,x=17
Solve for x: (x-9)/(3x-1)=(x-9)/(x+33)
The solution is x=9,x=17