1. ## System of Equations with Radicals

How do I solve this system of equations?

5sqrrt(x - 2sqrrt(y = 4sqrrt(2

2sqrrt(x + 3sqrrt(y = 13sqrrt(2

2. Originally Posted by runner940
How do I solve this system of equations?

5sqrrt(x - 2sqrrt(y = 4sqrrt(2

2sqrrt(x + 3sqrrt(y = 13sqrrt(2
$3(5\sqrt{x} - 2\sqrt{y} = 4\sqrt{2})$

$2(2\sqrt{x} + 3\sqrt{y} = 13\sqrt{2})$

...

$15\sqrt{x} - 6\sqrt{y} = 12\sqrt{2}$

$4\sqrt{x} + 6\sqrt{y} = 26\sqrt{2})$
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$19\sqrt{x} = 38\sqrt{2}$

can you finish from here?