Solve the equation. $\frac { 5 y - 91 } { 10 y ^ { 2 } + 11 y - 6 } - \frac { 3 } { 2 y + 3 } = \frac { 5 } { 5 y - 2 }$
A) y = 5
B) y = -5
C) y = 0

Question

Quizplus · Accepted Answer

To solve the equation, first find a common denominator, which is $10y^2 + 11y - 6$. This denominator can be factored into $(2y + 3)(5y - 2)$. Then, solve the equation by combining like terms and simplifying. After simplification, you'll find that $y = -5$ is the solution that satisfies the original equation.

Solve the Equation 5y−9110y2+11y−6−32y+3=55y−2\frac { 5 y - 91 } { 10 y ^ { 2 } + 11 y - 6 } - \frac { 3 } { 2 y + 3 } = \frac { 5 } { 5 y - 2 }10y2+11y−65y−91​−2y+33​=5y−25​

Solve the Equation $\frac { 5 y - 91 } { 10 y ^ { 2 } + 11 y - 6 } - \frac { 3 } { 2 y + 3 } = \frac { 5 } { 5 y - 2 }$