### Home > PC3 > Chapter 7 > Lesson 7.1.5 > Problem7-64

7-64.

Solve the system of equations below.

$\left. \begin{array} { l } { \sqrt { 2 x } - \sqrt { 5 y } = 12 } \\ { 3 \sqrt { 2 x } + 6 \sqrt { 5 y } = 45 } \end{array} \right.$

Let $u=\sqrt{2x}$ and $w=\sqrt{5y}$.

Solve the system:
$u-w=12$
$3u+6w=45$