What is the answer to (y+1)/(y+3)=(3y)/(y-4) ?

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

Solve for y: (y+1)/(y+3)=(3y)/(y-4)

The solution is y=-3-sqrt(7),y=-3+sqrt(7)

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\frac{y + 1}{y + 3} = \frac{3 y}{y - 4}

y = - 3 - 7, y = - 3 + 7

Solution steps

\frac{y + 1}{y + 3} = \frac{3 y}{y - 4}

Cross multiply

(y + 1) (y - 4) = (y + 3) \cdot 3 y

Solve

(y + 1) (y - 4) = (y + 3) \cdot 3 y : y = - 3 - 7, y = - 3 + 7

y = - 3 - 7, y = - 3 + 7

Verify Solutions

Find undefined (singularity) points:

y = - 3, y = 4

Combine undefined points with solutions:

y = - 3 - 7, y = - 3 + 7

\frac{13}{4 x + 2} = \frac{5}{10}

\frac{24}{x} = \frac{x}{6}

1 + \frac{1}{v - 3} = \frac{10}{v + 1}

y, \frac{y}{y ^{2} - 1} = 0

\frac{100}{X} = \frac{133}{100}

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