What is the answer to 1/(a-1)+3/(3a-1)=0 ?

The answer to 1/(a-1)+3/(3a-1)=0 is a= 2/3

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1/(a-1)+3/(3a-1)=0

\frac{1}{a - 1} + \frac{3}{3 a - 1} = 0

a = \frac{2}{3}

Decimal Notation

a = 0.66666 \dots

Solution steps

\frac{1}{a - 1} + \frac{3}{3 a - 1} = 0

Multiply by LCM

3 a - 1 + 3 (a - 1) = 0

Move

1

to the right side

3 a + 3 (a - 1) = 1

Expand

3 (a - 1) : 3 a - 3

3 a + 3 a - 3 = 1

Add similar elements:

3 a + 3 a = 6 a

6 a - 3 = 1

Move

3

to the right side

6 a = 4

Divide both sides by

6

a = \frac{2}{3}

Verify Solutions

Find undefined (singularity) points:

a = 1, a = \frac{1}{3}

Combine undefined points with solutions:

a = \frac{2}{3}

15 - (\frac{3750}{x ^{2}}) = 0

x, r = \frac{a - x}{a + x}

0 = 1 - \frac{4}{( x + 1 ) ^{2}}

1339 = \frac{152}{x}

\frac{x}{x - 8} + 6 = \frac{8}{x - 8}

What is the answer to 1/(a-1)+3/(3a-1)=0 ?
The answer to 1/(a-1)+3/(3a-1)=0 is a= 2/3
Solve for a: 1/(a-1)+3/(3a-1)=0
The solution is a= 2/3