What is the answer to (y-1)/(7-y)= 4/y ?

The answer to (y-1)/(7-y)= 4/y is y=4,y=-7

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(y-1)/(7-y)= 4/y

\frac{y - 1}{7 - y} = \frac{4}{y}

y = 4, y = - 7

Solution steps

\frac{y - 1}{7 - y} = \frac{4}{y}

Cross multiply

(y - 1) y = (7 - y) \cdot 4

Solve

(y - 1) y = (7 - y) \cdot 4 : y = 4, y = - 7

y = 4, y = - 7

Verify Solutions

Find undefined (singularity) points:

y = 7, y = 0

Combine undefined points with solutions:

y = 4, y = - 7

(x) = 1 (x) + 60 + \frac{10240}{x}

\frac{3}{4 x + 12} = 126

\frac{3}{x - 2} + \frac{2}{2 x + 1} = 0

\frac{1}{x - 2} = \frac{5}{2 x - 4}

\frac{45}{35} = \frac{9}{7 a - 7}

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