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

The answer to 7/(x-3)= 7/3 is x=6

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7/(x-3)= 7/3

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

x = 6

Solution steps

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

Cross multiply

21 = (x - 3) \cdot 7

Switch sides

(x - 3) \cdot 7 = 21

Divide both sides by

7

x - 3 = 3

Move

3

to the right side

x = 6

Verify Solutions

Find undefined (singularity) points:

x = 3

Combine undefined points with solutions:

x = 6

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

y, 4 y = \frac{6 + x ^{5}}{x ^{5} y}

5 - \frac{400}{x ^{2}} = 0

\frac{x}{x + 1} - \frac{x - 1}{x} = \frac{1}{20}

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