What is the answer to (4a-1)/(a-1)=3 ?

The answer to (4a-1)/(a-1)=3 is a=-2

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(4a-1)/(a-1)=3

\frac{4 a - 1}{a - 1} = 3

a = - 2

Solution steps

\frac{4 a - 1}{a - 1} = 3

Multiply both sides by

a - 1

4 a - 1 = 3 (a - 1)

Expand

3 (a - 1) : 3 a - 3

4 a - 1 = 3 a - 3

Move

1

to the right side

4 a = 3 a - 2

Move

3 a

to the left side

a = - 2

Verify Solutions

Find undefined (singularity) points:

a = 1

Combine undefined points with solutions:

a = - 2

\frac{1}{x} = \frac{4}{100}

y, x = \frac{1}{y ^{3}}

3 = \frac{7}{r - 6}

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

(x) = \frac{( x ^{2} - 7 x + 12 )}{( 7 x )}