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a:=>x+1=0 và y-2=0
=>x=-1 và y=2
b: \(\Leftrightarrow\left(x-5;y-7\right)\in\left\{\left(1;1\right);\left(-1;-1\right)\right\}\)
=>\(\left(x,y\right)\in\left\{\left(6;8\right);\left(4;6\right)\right\}\)
c: (x+4)(y-2)=2
=>\(\left(x+4;y-2\right)\in\left\{\left(1;2\right);\left(2;1\right);\left(-1;-2\right);\left(-2;-1\right)\right\}\)
hay \(\left(x,y\right)\in\left\{\left(-3;4\right);\left(-2;3\right);\left(-5;0\right);\left(-6;1\right)\right\}\)
f: =>(x-12)(y-6)=-2
=>\(\left(x-12;y-6\right)\in\left\{\left(1;-2\right);\left(-2;1\right);\left(-1;2\right);\left(2;-1\right)\right\}\)
hay \(\left(x,y\right)\in\left\{\left(13;4\right);\left(10;7\right);\left(11;8\right);\left(14;5\right)\right\}\)
a) \(x\cdot3\dfrac{1}{4}+\left(-\dfrac{7}{6}\right)\cdot x-1\dfrac{2}{3}=\dfrac{5}{12}\)
\(\Rightarrow\dfrac{3}{4}x-\dfrac{7}{6}x-\dfrac{2}{3}=\dfrac{5}{12}\)
\(\Leftrightarrow9x-14x-8=5\)
\(\Leftrightarrow-5x-8=5\)
\(\Leftrightarrow-5x=5+8\)
\(\Leftrightarrow-5x=13\)
\(\Rightarrow x=-\dfrac{13}{5}\)
Vậy \(x=-\dfrac{13}{5}\)
b) \(5\dfrac{8}{17}:x+\left|2x-\dfrac{3}{4}\right|=-\dfrac{7}{4}\)
\(\Rightarrow5\dfrac{8}{17}:x+\left|2x-\dfrac{3}{4}\right|=-\dfrac{7}{4}\left(đk:x\ne0\right)\)
\(\Leftrightarrow\dfrac{93}{17}\cdot\dfrac{1}{x}+\left|2x-\dfrac{3}{4}\right|=-\dfrac{7}{4}\)
\(\Leftrightarrow\dfrac{93}{17x}+\left|2x-\dfrac{3}{4}\right|=-\dfrac{7}{4}\)
\(\Leftrightarrow\left[{}\begin{matrix}\dfrac{93}{17x}+2x-\dfrac{3}{4}=-\dfrac{7}{4}\left(đk:2x-\dfrac{3}{4}\ge0\right)\\\dfrac{93}{17x}-\left(2x-\dfrac{3}{4}\right)=-\dfrac{7}{4}\left(đk:2x-\dfrac{3}{4}< 0\right)\end{matrix}\right.\)
đến đây bạn giải tiếp nhé
c) \(\left(x+\dfrac{1}{2}\right)\cdot\left(\dfrac{2}{3}-2x\right)=0\)
\(\Rightarrow\left[{}\begin{matrix}x+\dfrac{1}{2}=0\\\dfrac{2}{3}-2x=0\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}x=0-\dfrac{1}{2}\\2x=0+\dfrac{2}{3}\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}x=-\dfrac{1}{2}\\x=\dfrac{2}{3}:2\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}x=-\dfrac{1}{2}\\x=\dfrac{1}{3}\end{matrix}\right.\)
Vậy \(x_1=-\dfrac{1}{2};x_2=\dfrac{1}{3}\)
5 x 12 x 3 x 7 / 3 x 8 x 7 x 5 = 3/2
2 x 5 x 4 x 6 / 4 x 3 x 5 x 7 = 4/7
5 x 12 x 3 x 7 / 3 x 8 x 7 x 5
=5 x 3 x 7 x 12/ 3 x 7 x 5 x 8
= 12/8 = 3/2
2 x 5 x 4 x 6 / 4 x 3 x 5 x 7
=4/7