Solve by Any Method $a$ And $b$ Represent Nonzero Constants $a x+b y=1$

Multiple Choice

Solve by any method. Assume $a$ and $b$ represent nonzero constants.
- $a x+b y=1$
Ax - by $=14$

A) $\left\{\left(\frac{15}{2 a},-\frac{13}{2 b}\right) \right\}$

B) $\left\{\left\{\frac{13}{a},-\frac{15}{2 b}\right) \right\}$

C) $\left\{\left(\frac{15}{2 a}, \frac{13}{2 b}\right) \right\}$

D) $\left\{\left(-\frac{15}{2 a},-\frac{13}{2 b}\right) \right\}$