What is the answer to 3/(y-2)-2= 1/(y-1) ?

The answer to 3/(y-2)-2= 1/(y-1) is y=(4-sqrt(6))/2 ,y=(4+sqrt(6))/2

Solve for y: 3/(y-2)-2= 1/(y-1)

The solution is y=(4-sqrt(6))/2 ,y=(4+sqrt(6))/2

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\frac{3}{y - 2} - 2 = \frac{1}{y - 1}

y = \frac{4 - 6}{2}, y = \frac{4 + 6}{2}

Decimal Notation

y = 0.77525 \dots, y = 3.22474 \dots

Solution steps

\frac{3}{y - 2} - 2 = \frac{1}{y - 1}

Multiply by LCM

3 (y - 1) - 2 (y - 2) (y - 1) = y - 2

Solve

3 (y - 1) - 2 (y - 2) (y - 1) = y - 2 : y = \frac{4 - 6}{2}, y = \frac{4 + 6}{2}

y = \frac{4 - 6}{2}, y = \frac{4 + 6}{2}

Verify Solutions

Find undefined (singularity) points:

y = 2, y = 1

Combine undefined points with solutions:

y = \frac{4 - 6}{2}, y = \frac{4 + 6}{2}

\frac{11}{2} = \frac{33}{x}

0.9 = \frac{2.47 x}{1 + 1.47 x}

\frac{4}{x} = 0

\frac{4}{x} = 2

\frac{4}{x} = 3

What is the answer to 3/(y-2)-2= 1/(y-1) ?
The answer to 3/(y-2)-2= 1/(y-1) is y=(4-sqrt(6))/2 ,y=(4+sqrt(6))/2
Solve for y: 3/(y-2)-2= 1/(y-1)
The solution is y=(4-sqrt(6))/2 ,y=(4+sqrt(6))/2