CPM Homework Help : PC3 Problem 12-47

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12-47.

Solve the system of equations below.

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

Step 1:

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

Step 2:

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

Step 3:

$-6+ 2xy = 6x$

Step 4:

$2xy - 6x = 6$ or $xy - 3x = 3$

Step 5:

$x(y-3) = 3$

Step 6:

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

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

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