Determine whether the equation is an identity, a conditional equation, or an inconsistent equation.
-$$\frac { 5 } { y + 4 } - \frac { 2 } { y - 4 } = \frac { 5 } { y ^ { 2 } - 16 }$$
A) Identity
B) Conditional equation
C) Inconsistent equation

Question

Quizplus · Accepted Answer

This is a conditional equation because it is true for specific values of $y$. The equation involves rational expressions, and its validity depends on the values of $y$ that do not make any denominator zero. The denominators suggest that $y \neq 4$ and $y \neq -4$, and the equation can be solved for specific values of $y$ that satisfy it, making it conditional.

Determine Whether the Equation Is an Identity, a Conditional Equation 5y+4−2y−4=5y2−16\frac { 5 } { y + 4 } - \frac { 2 } { y - 4 } = \frac { 5 } { y ^ { 2 } - 16 }y+45​−y−42​=y2−165​

Determine Whether the Equation Is an Identity, a Conditional Equation $\frac { 5 } { y + 4 } - \frac { 2 } { y - 4 } = \frac { 5 } { y ^ { 2 } - 16 }$