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19 tháng 3 2020

\(\frac{5x+2y}{3}\text{ equals }\frac{y-4x}{5}\text{ then:}25x+10y=3y-12x\text{ therefore:}37x=-7x\)

\(\Rightarrow\frac{37}{-7}x=y\text{ therefore:}x+3y=\frac{104}{-7}x=-8\Rightarrow x=\frac{13}{7}\Rightarrow y=\frac{13.37}{-49}=...\text{ then}\)

\(\text{COMPUTE IT YOURSELF}\)

1 tháng 11 2015

Áp dụng tính chất của dãy tỉ số bằng nhau ta có:

\(\frac{5x+2y}{3}=\frac{y-4x}{5}=\frac{5x+2y+y-4x}{3+5}=\frac{x+3y}{8}=\frac{-8}{8}=-1\)

=>5x+2y=-3=>5.(5x+2y)=5.(-3)=>25x+10y=-15

    y-4x=-5=>3.(y-4x)=3.(-5)=>3y-12x=-15

=>25x+10y+3y-12x=-15+(-15)

=>13x+13y=-30

=>13.(x+y)=-30

22 tháng 11 2015

\(\frac{5x+2y}{3}=\frac{y-4x}{5}=\frac{5x+2y+y-4x}{3+5}=\frac{x+3y}{8}=-\frac{8}{8}=-1\)

5x+2y =-3

y -4x =-1 => 2y = 8x-2

=> 5x + 8x-2 =-3 => 13x =-1

=> y =4x-1 ==>13y = 4(13x)-13 =4(-1) -1 =-5

=> 13x+13y= 13(x+y)= -1 +(-5) =-6

Vậy 13(x+y) = -6

1 tháng 11 2015

Áp dụng tính chất của dãy tỉ số bằng nhau ta có:

\(\frac{5x+2y}{3}=\frac{y-4x}{5}=\frac{5x+2y+y-4x}{3+5}=\frac{x+3y}{8}=\frac{-8}{8}=-1\)

=>5x+2y=-3=>5.(5x+2y)=5.(-3)=>25x+10y=-15

    y-4x=-5=>3.(y-4x)=3.(-5)=>3y-12x=-15

=>25x+10y+3y-12x=-15+(-15)

=>13x+13y=-30

=>13.(x+y)=-30

20 tháng 9 2021

\(a,\left\{{}\begin{matrix}3x-y=5\\4x+2y=10\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}3x-y=5\\2x+y=5\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x=2\\y=1\end{matrix}\right.\\ b,\left\{{}\begin{matrix}5x+2y=9\\x+5y=11\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}5x+2y=9\\5x+25y=55\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}5x+2y=9\\23y=46\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x=1\\y=2\end{matrix}\right.\)

\(c,\left\{{}\begin{matrix}3x+y=10\\4x-3y=9\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}9x+3y=30\\4x-3y=9\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}13x=39\\4x-3y=9\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x=3\\y=1\end{matrix}\right.\\ d,\left\{{}\begin{matrix}4x+3y=22\\5x+3y=26\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x=4\\5x+3y=26\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x=4\\y=2\end{matrix}\right.\)

\(e,\left\{{}\begin{matrix}4x-3y=5\\5x+3y=13\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}9x=18\\5x+3y=13\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x=2\\y=1\end{matrix}\right.\)

20 tháng 9 2021

a. \(\left\{{}\begin{matrix}3x-y=5\\4x+2y=10\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}6x-2y=10\\4x+2y=10\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}10x=20\\6x-2y=10\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x=2\\y=1\end{matrix}\right.\)

b. \(\left\{{}\begin{matrix}5x+2y=9\\x+5y=11\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}5x+2y=9\\5x+25y=55\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}23y=46\\5x+2y=9\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}y=2\\x=1\end{matrix}\right.\)

c. \(\left\{{}\begin{matrix}3x+y=10\\4x-3y=9\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}9x+3y=30\\4x-3y=9\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}13x=39\\4x-3y=9\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x=3\\y=1\end{matrix}\right.\)

d. \(\left\{{}\begin{matrix}4x+3y=22\\5x+3y=26\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x=4\\4x+3y=22\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x=4\\y=2\end{matrix}\right.\)

e. \(\left\{{}\begin{matrix}4x-3y=5\\5x+3y=13\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}9x=18\\4x-3y=5\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x=2\\y=1\end{matrix}\right.\)