What is the answer to 4/(y-2)=-9-2/(y-1) ?

The answer to 4/(y-2)=-9-2/(y-1) is y= 2/3 ,y= 5/3

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4/(y-2)=-9-2/(y-1)

\frac{4}{y - 2} = - 9 - \frac{2}{y - 1}

y = \frac{2}{3}, y = \frac{5}{3}

Decimal Notation

y = 0.66666 \dots, y = 1.66666 \dots

Solution steps

\frac{4}{y - 2} = - 9 - \frac{2}{y - 1}

Multiply by LCM

4 (y - 1) = - 9 (y - 2) (y - 1) - 2 (y - 2)

Solve

4 (y - 1) = - 9 (y - 2) (y - 1) - 2 (y - 2) : y = \frac{2}{3}, y = \frac{5}{3}

y = \frac{2}{3}, y = \frac{5}{3}

Verify Solutions

Find undefined (singularity) points:

y = 2, y = 1

Combine undefined points with solutions:

y = \frac{2}{3}, y = \frac{5}{3}

0.0893 = \frac{1}{t}

A, \frac{A + B}{A} = B

\frac{9 - x ^{2}}{x ^{2} + 3 x} = 1

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

\frac{3 x + 1}{x + 4} = 2

What is the answer to 4/(y-2)=-9-2/(y-1) ?
The answer to 4/(y-2)=-9-2/(y-1) is y= 2/3 ,y= 5/3
Solve for y: 4/(y-2)=-9-2/(y-1)
The solution is y= 2/3 ,y= 5/3