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-x - 3/4 = -8/11
-x = -8/11 + 3/4
-x = 1/44
=> x = -1/44
=> 11x = 11 x -1/44 = -1/4
a, \(5x+30=110\)
\(5x=110-30\)
\(5x=80\)
\(x=80:5\)
\(x=16\)
b, \(2x-18=56\)
\(2x=56+18\)
\(2x=74\)
\(x=74:2\)
\(x=37\)
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Ta có:\(2x^2-2xy=5x-y-19\)
\(\Rightarrow2x^2-5x-19=2xy-y\)
\(\Rightarrow\frac{2x^2-5x+19}{2x-1}=y\)
Mà y là số nguyên
\(\Rightarrow\frac{2x^2-5x-19}{2x-1}\)
\(\Leftrightarrow\frac{2x^2-x-4x+2+17}{2x-1}\inℤ\)
\(2x-2+\frac{17}{2x-1}\inℤ\Leftrightarrow\frac{17}{2x-1}\inℤ\Leftrightarrow17⋮2x-1\)
Tự lập bảng
\(P=1+\frac{x+3}{x^2+5x+6}:\left(\frac{8x^2}{4x^3-8x^2}-\frac{3x}{3x^2-12}-\frac{1}{x+2}\right)\)
\(P=1+\frac{x+3}{\left(x+3\right)\left(x+2\right)}:\left(\frac{8x^2}{4x^3-8x^2}-\frac{3x}{3\left(x^2-4\right)}-\frac{1}{x+2}\right)\)
\(P=1+\frac{1}{x+2}:\left(\frac{4x^2.2}{4x^2\left(x-2\right)}-\frac{x}{\left(x+2\right)\left(x-2\right)}-\frac{1}{x+2}\right)\)
\(P=1+\frac{1}{x+2}:\left(\frac{2}{x-2}-\frac{x}{\left(x+2\right)\left(x-2\right)}-\frac{x-2}{\left(x+2\right)\left(x-2\right)}\right)\)
\(P=1+\frac{1}{x+2}:\left(\frac{2x+4-x-x+2}{\left(x+2\right)\left(x-2\right)}\right)\)
\(P=1+\frac{1}{x+2}:\frac{6}{\left(x+2\right)\left(x-2\right)}=1+\frac{\left(x+2\right)\left(x-2\right)}{6\left(x+2\right)}=1+\frac{x-2}{6}\)
\(=\frac{x+4}{6}.P=0\Leftrightarrow x=-4\)
\(P>0\Leftrightarrow x>-4\)
11x - 5x = 600 <=> 6x = 600 <=> x = 600 : 6 <=> x = 100
Vậy x = 100
11x -5x =600
(11-5)x=600
6x=600
x=600:6
x=100