What is the answer to 6/(a-6)= 3/(a-3) ?

The answer to 6/(a-6)= 3/(a-3) is a=0

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6/(a-6)= 3/(a-3)

\frac{6}{a - 6} = \frac{3}{a - 3}

a = 0

Solution steps

\frac{6}{a - 6} = \frac{3}{a - 3}

Cross multiply

6 a - 18 = 3 a - 18

Move

18

to the right side

6 a = 3 a

Move

3 a

to the left side

3 a = 0

Divide both sides by

3

a = 0

Verify Solutions

Find undefined (singularity) points:

a = 6, a = 3

Combine undefined points with solutions:

a = 0

\frac{x + 3}{7} = \frac{3}{x - 1}

\frac{3 x ^{2} - 4}{x} = 3 (x - 4)

y, \frac{x}{y} = x

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

x^{2} + \frac{1}{x} = 0, x > 0