Explained: "Solve the equation: 5y−4=3yy+2–2y2–14yy2–2y–8"

Tyra

Answered question

2021-08-08

Solve the equation:

\frac{5}{y - 4} = 3 \frac{y}{y + 2} - \frac{2 y^{2} - 14 y}{y^{2} - 2 y - 8}

Lacey-May Snyder

Skilled2021-08-09Added 88 answers

\frac{5}{y - 4} = 3 \frac{y}{y + 2} - \frac{2 y^{2} - 14 y}{y^{2} - 2 y - 8}

\frac{5}{y - 4} = 3 \frac{y}{y + 2} - \frac{2 y^{2} - 14 y}{(y - 4) (y - 2)}

\frac{5 (y + 2)}{(y - 4) (y + 2)} = \frac{3 y (y - 4)}{(y + 2) (y - 4)} - \frac{2 y^{2} - 14 y}{(y - 4) (y - 2)}

5 y + 10 = 3 y^{2} - 12 y - 2 y^{2} + 14 y

- y^{2} + 3 y + 10 = 0

y^{2} - 3 y - 10 = 0

(y - 5) (y + 2) = 0

y = 5 or y = - 2

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