What is the answer to 2/(a-2)=(3a-1)/(2a+11) ?

The answer to 2/(a-2)=(3a-1)/(2a+11) is a=5,a=-4/3

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2/(a-2)=(3a-1)/(2a+11)

\frac{2}{a - 2} = \frac{3 a - 1}{2 a + 11}

a = 5, a = - \frac{4}{3}

Decimal Notation

a = 5, a = - 1.33333 \dots

Solution steps

\frac{2}{a - 2} = \frac{3 a - 1}{2 a + 11}

Cross multiply

2 (2 a + 11) = (a - 2) (3 a - 1)

Solve

2 (2 a + 11) = (a - 2) (3 a - 1) : a = 5, a = - \frac{4}{3}

a = 5, a = - \frac{4}{3}

Verify Solutions

Find undefined (singularity) points:

a = 2, a = - \frac{11}{2}

Combine undefined points with solutions:

a = 5, a = - \frac{4}{3}

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

y, \frac{1}{y} + \frac{1}{x} = 1

- \frac{2}{( x - 3 ) ^{3}} = 0

\frac{1}{x} - \frac{1}{x + 2} = \frac{1}{12}

\frac{2}{x - 1} = \frac{3}{3 x - 3} + \frac{1}{6}

What is the answer to 2/(a-2)=(3a-1)/(2a+11) ?
The answer to 2/(a-2)=(3a-1)/(2a+11) is a=5,a=-4/3
Solve for a: 2/(a-2)=(3a-1)/(2a+11)
The solution is a=5,a=-4/3