13y + y - 4y = 1010
13y + y - 4y -5 = 1015
13y + y - 4y - 5 = 1015
13 . y + y . 1 - 4 . y - 5 = 1015
y . ( 13 + 1 - 4 ) - 5 = 1015
y . 10 - 5 = 1015
y . 10 = 1015 + 5
y . 10 = 1020
y = 1020 : 10
ý = 102
13y + y - 4y -5 = 1015
13y + y - 4y = 1015 + 5 = 1020
10y = 1020
=> y = 1020 : 10 = 102
cho x+y>0 t/m 7x2-13y+2y2=0
tính A= (2x-6y)/7x+4y
Giải hệ phương trình: \(\left\{{}\begin{matrix}x^3-y^3+2x^2+4y^2+5-0\\x^2+2y^2+4x-13y+7=0\end{matrix}\right.\)
1) Tìm X,Y,Z biết :
a, 6x =4y =-2z và x-y-z = 27
b, x/4 = y/6 và 13y = 6z ; x*y*z =576
a)Ta có 6x=4y=-2z và x-y-z=27
\(\Rightarrow6x.\dfrac{1}{12}=4y.\dfrac{1}{12}=-2z.\dfrac{1}{12}\)
\(\Rightarrow\dfrac{x}{2}=\dfrac{y}{3}=\dfrac{z}{-6}=\dfrac{x-y-z}{2-3-\left(-6\right)}=\dfrac{27}{5}\)
\(\Rightarrow x=2.\dfrac{27}{5}=10,8\)
\(y=3.\dfrac{27}{5}=16,2\)
\(\Rightarrow z=-6.\dfrac{27}{5}=-32,4\)
b) Ta có 13y=6z
\(\Rightarrow\dfrac{y}{6}=\dfrac{z}{13}\)
\(\Rightarrow\dfrac{x}{4}=\dfrac{y}{6}=\dfrac{z}{13}\) và x.y.z=576(1)
Đặt \(\dfrac{x}{4}=\dfrac{y}{6}=\dfrac{z}{13}=k\Rightarrow x=4k;y=6k;z=13k\)(2)
Thay (2) vào (1) ta được
\(4k.6k.13k=576\)
\(\Rightarrow312.k^3=576\)
mk làm tới đây thì chia k đc
Tìm x
A, 15y(4y-9)-3(4y-9)=0
B, 8(25z+7)-27z(25z+7)=0
C, 13y(x-8)-2y+16=0
D, -10x(y+2)-y-2=0
E, x(x+19)^2-(x+19)^2=0
a) \(15y\left(4y-9\right)-3\left(4y-9\right)=0\)
\(\Leftrightarrow\left(15y-3\right)\left(4y-9\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}15y-3=0\\4y-9=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}y=\frac{1}{5}\\y=\frac{9}{4}\end{matrix}\right.\)
Vây \(y\in\left\{\frac{1}{5};\frac{9}{4}\right\}\)
b) \(8\left(25z+7\right)-27z\left(25z+7\right)=0\)
\(\Leftrightarrow\left(8-27z\right)\left(25z+7\right)=0\) \(\Leftrightarrow\left[{}\begin{matrix}z=\frac{8}{27}\\z=-\frac{7}{25}\end{matrix}\right.\)
Vậy \(z\in\left\{\frac{8}{27};-\frac{7}{25}\right\}\)
c) \(13y\left(y-8\right)-2y+16=0\)
\(\Leftrightarrow13y\left(y-8\right)-2\left(y-8\right)=0\)
\(\Leftrightarrow\left(13y-2\right)\left(y-8\right)=0\) \(\Leftrightarrow\left[{}\begin{matrix}y=\frac{2}{13}\\y=8\end{matrix}\right.\)
Vậy \(y\in\left\{\frac{2}{13};8\right\}\)
d) \(-10y\left(y+2\right)-y-2=0\)
\(\Leftrightarrow\left(-10y-1\right)\left(y+2\right)=0\) \(\Leftrightarrow\left[{}\begin{matrix}y=-2\\y=-\frac{1}{10}\end{matrix}\right.\)
Vậy \(y\in\left\{-2;-\frac{1}{10}\right\}\)
e) \(x\left(x+19\right)^2-\left(x+19\right)^2=0\)
\(\Leftrightarrow\left(x-1\right)\left(x+19\right)^2=0\) \(\Leftrightarrow\left[{}\begin{matrix}x=1\\x=-19\end{matrix}\right.\)
Vậy \(x\in\left\{1;-19\right\}\)
\(\left\{{}\begin{matrix}4y^3-12y^2+13y-5=\left(4x+9\right)\sqrt{x+2}\\2\left(x^2-5\left(y-1^2\right)\right)=3\left(y-1\right)\sqrt{x^2-4x-8}\end{matrix}\right.\)
x+13y chia hết cho 13 khi và chỉ khi 3x -4y chia hết cho 13
giải hệ phương trình :
\(\hept{\begin{cases}4\sqrt{3x+4y}+\sqrt{8-x+y}=23\\3\sqrt{8-x+y}-2\sqrt{38+6x-13y}=5\end{cases}}\)
nhờ các bạn nhé mik tick cho ok ^^
tìm x;y trong phương trình nghiệm nguyên sau:
b)x^2+4y^2=21+6x
c)4x^2+y^2=6x-2xy+9
d)9x^2+8y^2=12(7-x)
e)x^2-6xy+13y^2=100