What is the answer to 6-5/(y+2)=-4/(y-1) ?

The answer to 6-5/(y+2)=-4/(y-1) is y=-1/3 ,y=-1/2

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6-5/(y+2)=-4/(y-1)

6 - \frac{5}{y + 2} = - \frac{4}{y - 1}

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

Decimal Notation

y = - 0.33333 \dots, y = - 0.5

Solution steps

6 - \frac{5}{y + 2} = - \frac{4}{y - 1}

Multiply by LCM

6 (y + 2) (y - 1) - 5 (y - 1) = - 4 (y + 2)

Solve

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

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

Verify Solutions

Find undefined (singularity) points:

y = - 2, y = 1

Combine undefined points with solutions:

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

\frac{1}{x} = 0.08

\frac{1}{x} = 0.01

y, x = \frac{y + 1}{y + 2}

\frac{1}{x} = 0.25

\frac{1}{x} = 0.75

What is the answer to 6-5/(y+2)=-4/(y-1) ?
The answer to 6-5/(y+2)=-4/(y-1) is y=-1/3 ,y=-1/2
Solve for y: 6-5/(y+2)=-4/(y-1)
The solution is y=-1/3 ,y=-1/2