a)x÷5=5
b)5+x=9
c)66-x=6×6
d)55-x=5×7
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d: \(\frac{x}{6}-\frac{2}{y}=\frac{1}{30}\)
=>\(\frac{x}{6}-\frac{1}{30}=\frac{2}{y}\)
=>\(\frac{5x-1}{30}=\frac{2}{y}\)
=>\(y\left(5x-1\right)=60\)
=>(5x-1;y)∈{(1;60);(60;1);(-1;-60);(-60;-1);(2;30);(30;2);(-2;-30);(-30;-2);(3;20);(20;3);(-3;-20);(-20;-3);(4;15);(15;4);(-4;-15);(-15;-4);(5;12);(12;5);(-5;-12);(-12;-5);(6;10);(10;6);(-6;-10);(-10;-6)}
=>(5x;y)∈{(2;60);(61;1);(0;-60);(-59;-1);(3;30);(31;2);(-1;-30);(-29;-2);(4;20);(21;3);(-2;-20);(-19;-3);(5;15);(16;4);(-3;-15);(-14;-4);(6;12);(13;5);(-4;-12);(-11;-5);(7;10);(11;6);(-5;-10);(-9;-6)}
=>(x;y)∈{(2/5;60);(61/5;1);(0;-60);(-59/5;-1);(3/5;30);(31/5;2);(-1/5;-30);(-29/5;-2);(4/5;20);(21/5;3);(-2/5;-20);(-19/5;-3);(1;15);(16/5;4);(-3/5;-15);(-14/5;-4);(6/5;12);(13/5;5);(-4/5;-12);(-11/5;-5);(7/5;10);(11/5;6);(-1;-10);(-9/5;-6)}
c: \(\frac{5}{x}-\frac{y}{3}=\frac16\)
=>\(\frac{5}{x}=\frac{y}{3}+\frac16=\frac{2y+1}{6}\)
=>x(2y+1)=30
=>(x;2y+1)∈{(1;30);(30;1);(-1;-30);(-30;-1);(2;15);(15;2);(-2;-15);(-15;-2);(3;10);(10;3);(-3;-10);(-10;-3);(5;6);(6;5);(-5;-6);(-6;-5)}
=>(x;2y)∈{(1;29);(30;0);(-1;-31);(-30;-2);(2;14);(15;1);(-2;-16);(-15;-3);(3;9);(10;2);(-3;-11);(-10;-4);(5;5);(6;4);(-5;-7);(-6;-6)}
=>(x;y)∈{(1;29/2);(30;0);(-1;-31/2);(-30;-1);(2;7);(15;1/2);(-2;-8);(-15;-3/2);(3;9/2);(10;1);(-3;-11/2);(-10;-2);(5;5/2);(6;2);(-5;-7/2);(-6;-3)}
b: \(\frac{4}{x}+\frac{y}{3}=\frac56\)
=>\(\frac{4}{x}=\frac56-\frac{y}{3}=\frac{5-2y}{6}\)
=>x(5-2y)=24
=>x(2y-5)=-24
=>(x;2y-5)∈{(1;-24);(-24;1);(-1;24);(24;-1);(2;-12);(-12;2);(-2;12);(12;-2);(3;-8);(-8;3);(-3;8);(8;-3);(4;-6);(-6;4);(-4;6);(6;-4)}
=>(x;2y)∈{(1;-19);(-24;6);(-1;29);(24;4);(2;-7);(-12;7);(-2;17);(12;3);(3;-3);(-8;8);(-3;13);(8;2);(4;-1);(-6;9);(-4;11);(6;1)}
=>(x;y)∈{(1;-19/2);(-24;3);(-1;29/2);(24;2);(2;-7/2);(-12;7/2);(-2;17/2);(12;3/2);(3;-3/2);(-8;4);(-3;13/2);(8;1);(4;-1/2);(-6;9/2);(-4;11/2);(6;1/2)}
a: \(\frac{x}{3}-\frac{4}{y}=\frac15\)
=>\(\frac{x}{3}-\frac15=\frac{4}{y}\)
=>\(\frac{5x-3}{15}=\frac{4}{y}\)
=>y(5x-3)=60
=>(5x-3;y)∈{(1;60);(60;1);(-1;-60);(-60;-1);(2;30);(30;2);(-2;-30);(-30;-2);(3;20);(20;3);(-3;-20);(-20;-3);(4;15);(15;4);(-4;-15);(-15;-4);(5;12);(12;5);(-5;-12);(-12;-5);(6;10);(10;6);(-6;-10);(-10;-6)}
=>(5x;y)∈{(4;60);(63;1);(2;-60);(-57;-1);(5;30);(33;2);(1;-30);(-27;-2);(6;20);(23;3);(0;-20);(-17;-3);(7;15);(18;4);(-1;-15);(-12;-4);(8;12);(15;5);(-2;-12);(-9;-5);(9;10);(13;6);(-3;-10);(-7;-6)}
=>(x;y)∈{(4/5;60);(63/5;1);(2/5;-60);(-57/5;-1);(1;30);(33/5;2);(1/5;-30);(-27/5;-2);(6/5;20);(23/5;3);(0;-20);(-17/5;-3);(7/5;15);(18/5;4);(-1/5;-15);(-12/5;-4);(8/5;12);(3;5);(-2/5;-12);(-9/5;-5);(9/5;10);(13/5;6);(-3/5;-10);(-7/5;-6)}
a)
\(\Rightarrow\dfrac{47}{10}.x=\dfrac{1}{5}+\dfrac{2}{3}\)
\(\Rightarrow\dfrac{47}{10}.x=\dfrac{3}{15}+\dfrac{10}{15}\)
\(\Rightarrow\dfrac{47}{10}.x=\dfrac{13}{15}\)
\(\Rightarrow x=\dfrac{13}{15}:\dfrac{47}{10}\)
\(\Rightarrow x=\dfrac{13}{10}.\dfrac{10}{47}\)
\(\Rightarrow x=\dfrac{13}{47}\)
b)
\(\Rightarrow\dfrac{5}{7}:x=\dfrac{1}{6}-\dfrac{4}{5}\)
\(\Rightarrow\dfrac{5}{7}:x=\dfrac{5}{30}-\dfrac{24}{30}\)
\(\Rightarrow\dfrac{5}{7}:x=-\dfrac{19}{30}\)
\(\Rightarrow x=\dfrac{5}{7}:\left(-\dfrac{19}{30}\right)\)
\(\Rightarrow x=\dfrac{5}{7}.\left(-\dfrac{30}{19}\right)\)
\(\Rightarrow x=-\dfrac{150}{133}\)
a: \(\dfrac{-8}{3}\cdot\dfrac{15}{24}=\dfrac{-8}{24}\cdot\dfrac{15}{3}=\dfrac{-1}{3}\cdot5=-\dfrac{5}{3}\)
b: \(=\dfrac{3}{4}\cdot\dfrac{1}{-9}=\dfrac{-1}{12}\)
c: \(x=-\dfrac{7}{6}+\dfrac{5}{8}=-\dfrac{13}{24}\)
d: \(x=-\dfrac{14}{25}-\dfrac{3}{4}=\dfrac{-56-75}{100}=\dfrac{-131}{100}\)
a: 128-2x=-8-x
=>-2x+x=-8-128
=>-x=-136
=>x=136
b: \(x-\left(-15\right)\cdot2=55-7\cdot\left(-3\right)\)
=>x+30=55+21
=>x+30=76
=>x=76-30
=>x=46
c: \(66-\left\lbrack5-\left(-x\right)\right\rbrack=169\)
=>66-[5+x]=169
=>x+5=66-169=-103
=>x=-103-5
=>x=-108
d: (8-2x)(8+x)=0
=>2(4-x)(8+x)=0
=>(x-4)(x+8)=0
=>\(\left[\begin{array}{l}x-4=0\\ x+8=0\end{array}\right.\Rightarrow\left[\begin{array}{l}x=4\\ x=-8\end{array}\right.\)
e: \(7-\left\lbrack x^2+\left(-9\right)\right\rbrack=-20\)
=>\(x^2-9=7+20=27\)
=>\(x^2=36\)
=>\(\left[\begin{array}{l}x=6\\ x=-6\end{array}\right.\)
bài 2 tìm x
a,106- ( x+ 7) =9
x+7 = 106 - 9
x+7 = 107
x= 107 - 7
x=100
b, 2 x ( x+ 4) + 5 =65
2 x (x+4) = 65 - 5
2 x (x+4) = 60
x+4 = 60:2
x+4= 30
x= 30 - 4
x=26
c, (16x x -32) x 45=0
16 x X - 32 = 0: 45
16 x X - 32 =0
16 x X = 0 + 32
16 x X = 32
X= 32:16
X=2
d, x+4 x x = 100 : 5
X + 4 x X = 20
(1+4) x X = 20
5 x X = 20
X= 20:5
X=4
a) 25 : 5 = 5
b) 5 + 4 = 9
c) 66 - x = 6x6
66 - x = 36
x = 66 - 36
x = 30
d) 55 - x = 5x7
55 - x = 35
x = 55 - 35
x = 20
a,x:5=5
x=5x5
x=25
b,5+x=9
x=9-5
x=4
c,66-x=6x6
66-x=36
x=66-36
x=30
d,55-x=5x7
55-x=35
x=55-35
x=20