What is the answer to 6+7/(y-1)= 2/(y+2) ?

The answer to 6+7/(y-1)= 2/(y+2) is y=-1/2 ,y=-4/3

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6+7/(y-1)= 2/(y+2)

6 + \frac{7}{y - 1} = \frac{2}{y + 2}

y = - \frac{1}{2}, y = - \frac{4}{3}

Decimal Notation

y = - 0.5, y = - 1.33333 \dots

Solution steps

6 + \frac{7}{y - 1} = \frac{2}{y + 2}

Multiply by LCM

6 (y - 1) (y + 2) + 7 (y + 2) = 2 (y - 1)

Solve

6 (y - 1) (y + 2) + 7 (y + 2) = 2 (y - 1) : y = - \frac{1}{2}, y = - \frac{4}{3}

y = - \frac{1}{2}, y = - \frac{4}{3}

Verify Solutions

Find undefined (singularity) points:

y = 1, y = - 2

Combine undefined points with solutions:

y = - \frac{1}{2}, y = - \frac{4}{3}

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

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

What is the answer to 6+7/(y-1)= 2/(y+2) ?
The answer to 6+7/(y-1)= 2/(y+2) is y=-1/2 ,y=-4/3
Solve for y: 6+7/(y-1)= 2/(y+2)
The solution is y=-1/2 ,y=-4/3