Violympic toán 9
Các câu hỏi tương tự
giải hệ phương trình
a) \(\left\{{}\begin{matrix}3x-2y+z=14\\2x+y-z=3\\z-2x=-5\end{matrix}\right.\)
b) \(\left\{{}\begin{matrix}x^2-y^2=4y+2x+3\\x^2+2x+y=0\end{matrix}\right.\)
c)\(\left\{{}\begin{matrix}\left|xy-4\right|=8-y^2\\xy=2+x^2\end{matrix}\right.\)
tìm nghiệm nguyên dương thỏa mãn
\(\left\{{}\begin{matrix}x+y+z=2\\3x^2+2y^2-z^2=13\end{matrix}\right.\)
giải hệ sau \(\left\{{}\begin{matrix}x=3y^3+2y^2+y\\y=3z^3+2z^2+z\\z=3x^3+2x^2+x\end{matrix}\right.\)
giải hệ phương trình
a)\(\left\{{}\begin{matrix}\left(x^2+1\right)\left(y^2+1\right)=10\\\left(x+y\right)\left(xy-1\right)=3\end{matrix}\right.\)
b)\(\left\{{}\begin{matrix}x^2+y^2+2\left(xy-2\right)=0\\x^2+y^2-2xy=16\end{matrix}\right.\)
c)\(\left\{{}\begin{matrix}x^2-2x\sqrt{y}+2y=x\\y^2-2y\sqrt{x}+2z=y\\z^2-2z\sqrt{x}+2x=z\end{matrix}\right.\)
Giải hệ phương trình: \(\left\{{}\begin{matrix}xz=x+4\\2y^2=7xz-3x-14\\x^2+z^2=35-y^2\end{matrix}\right.\)
Giải hệ phương trình: \(\left\{{}\begin{matrix}2x^2=y\left(x^2+1\right)\\2y^2=z\left(y^2+1\right)\\2z^2=x\left(z^2+1\right)\end{matrix}\right.\)
Giải hệ phương trình: \(\left\{{}\begin{matrix}xz=x+4\\2y^2=7xz-3x-14\\x^2+z^2=35-y^2\end{matrix}\right.\)
giải hệ pt sau
aleft{{}begin{matrix}4x+y28x+3y5end{matrix}right. bleft{{}begin{matrix}3x_{ }-2y114x-5y3end{matrix}right. cleft{{}begin{matrix}4x+3y135x-3y_{ }-31end{matrix}right. Dleft{{}begin{matrix}7X+5Y193x+5y31end{matrix}right.
eleft{{}begin{matrix}7x-5y33x+10y62end{matrix}right. fleft{{}begin{matrix}2x+5y113x+2y11end{matrix}right. gleft{{}begin{matrix}x+3y4y-x+52x-y3x-...
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giải hệ pt sau
a\(\left\{{}\begin{matrix}4x+y=2\\8x+3y=5\end{matrix}\right.\) b\(\left\{{}\begin{matrix}3x_{ }-2y=11\\4x-5y=3\end{matrix}\right.\) c\(\left\{{}\begin{matrix}4x+3y=13\\5x-3y=_{ }-31\end{matrix}\right.\) D\(\left\{{}\begin{matrix}7X+5Y=19\\3x+5y=31\end{matrix}\right.\)
e\(\left\{{}\begin{matrix}7x-5y=3\\3x+10y=62\end{matrix}\right.\) f\(\left\{{}\begin{matrix}2x+5y=11\\3x+2y=11\end{matrix}\right.\) g\(\left\{{}\begin{matrix}x+3y=4y-x+5\\2x-y=3x-2\left(y+1\right)\end{matrix}\right.\)
Giải hệ phương trình :
1, left{{}begin{matrix}x-2y12x-y4end{matrix}right.
2, left{{}begin{matrix}frac{x}{y}-frac{y}{y+12}1frac{x}{y+12}-frac{x}{y}2end{matrix}right.
3, left{{}begin{matrix}3x^2+y^25x^2-3y1end{matrix}right.
4, left{{}begin{matrix}sqrt{3x-1}-sqrt{2y+1}12sqrt{3x-1}+3sqrt{2y+1}12end{matrix}right.
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Giải hệ phương trình :
1, \(\left\{{}\begin{matrix}x-2y=1\\2x-y=4\end{matrix}\right.\)
2, \(\left\{{}\begin{matrix}\frac{x}{y}-\frac{y}{y+12}=1\\\frac{x}{y+12}-\frac{x}{y}=2\end{matrix}\right.\)
3, \(\left\{{}\begin{matrix}3x^2+y^2=5\\x^2-3y=1\end{matrix}\right.\)
4, \(\left\{{}\begin{matrix}\sqrt{3x-1}-\sqrt{2y+1}=1\\2\sqrt{3x-1}+3\sqrt{2y+1}=12\end{matrix}\right.\)