What is the answer to (x-9)/(x-6)= 2/9 ?

The answer to (x-9)/(x-6)= 2/9 is x= 69/7

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(x-9)/(x-6)= 2/9

\frac{x - 9}{x - 6} = \frac{2}{9}

x = \frac{69}{7}

Decimal Notation

x = 9.85714 \dots

Solution steps

\frac{x - 9}{x - 6} = \frac{2}{9}

Cross multiply

9 x - 81 = 2 x - 12

Move

81

to the right side

9 x = 2 x + 69

Move

2 x

to the left side

7 x = 69

Divide both sides by

7

x = \frac{69}{7}

Verify Solutions

Find undefined (singularity) points:

x = 6

Combine undefined points with solutions:

x = \frac{69}{7}

\frac{5 x + 2}{3 x + 25} = \frac{1}{2}

\frac{6 x - 19}{6 x + 1} = 5

\frac{2 x - 3}{4 x - 5} = 6

\frac{x - 3}{x - 7} = \frac{5}{6}

\frac{2 x + 1}{3} = \frac{4}{3 x - 2}

What is the answer to (x-9)/(x-6)= 2/9 ?
The answer to (x-9)/(x-6)= 2/9 is x= 69/7
Solve for x: (x-9)/(x-6)= 2/9
The solution is x= 69/7