Giải hệ phương trình

D

dien0709

Giải hệ pt sau :

$\sqrt{8y-x}+x=2\to \sqrt{8y-x}=2-x $ (1) đk $ 2-x\ge 0$

$\sqrt{3y-x}+x+y=2\to \sqrt{3y-x}=2-x-y$ (2) đk $ 2-x\ge y$

$(1)-(2)\to \sqrt{8y-x}-\sqrt{3y-x}=y\iff 5y=y(\sqrt{8y-x}+\sqrt{3y-x})$

$\to y=0\to vn$

$\sqrt{8y-x}+\sqrt{3y-x}=5\to 5=4-2x-y\to y=-1-2x$

$\to x=-1\to y=1 (n)$

$x=-12\to y=23 (l)$
 
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