Home > PC3 > Chapter 12 > Lesson 12.1.3 > Problem12-47

12-47.

Solve the system of equations below.

$\left. \begin{array} { l } { \frac { 11 ^ { - 6 / x } } { 11 ^ { - 2 y } } = 11 ^ { 6 } } \\ { 15 x - 9 y = - 63 } \end{array} \right.$

$11^{-6/x-(-2y)}=11^6$

$-\frac{6}{x}+2y=6$

$-6+ 2xy = 6x$

$2xy - 6x = 6$  or  $xy - 3x = 3$

$x(y-3) = 3$

$x = \frac{3}{y-3}$

Substitute this equation into the second equation given in the problem and solve.