Tìm x
7+x/12=2/3
25-x/18=1/2
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Bài 2:
a: \(\left(6x-39\right):7=3\)
\(\Leftrightarrow6x-39=21\)
hay x=10
Bài 1:
a: \(\frac{x}{7}-\frac12=\frac{1}{y+1}\)
=>\(\frac{2x-7}{14}=\frac{1}{y+1}\)
=>(2x-7)(y+1)=14
mà 2x-7 lẻ
nên (2x-7;y+1)∈{(1;14);(-1;-14);(7;2);(-7;-2)}
=>(2x;y)∈{(8;13);(6;-15);(14;1);(0;-3)}
=>(x;y)∈{(4;13);(3;-15);(7;1);(0;-3)}
b: \(\frac{5}{x}-\frac{y}{4}=\frac18\)
=>\(\frac{5}{x}=\frac{y}{4}+\frac18=\frac{2y+1}{8}\)
=>x(2y+1)=40
mà 2y+1 lẻ
nên (x;2y+1)∈{(40;1);(-40;-1);(8;5);(-8;-5)}
=>(x;2y)∈{(40;0);(-40;-2);(8;4);(-8;-6)}
=>(x;y)∈{(40;0);(-40;-1);(8;2);(-8;-3)}
c: \(\frac{2}{y}-\frac{1}{x}=\frac{8}{xy}+1\)
=>\(\frac{2x-y}{xy}=\frac{8+xy}{xy}\)
=>xy+8=2x-y
=>xy-2x+y+8=0
=>x(y-2)+y-2+10=0
=>(x+1)(y-2)=-10
=>(x+1;y-2)∈{(1;-10);(-10;1);(-1;10);(10;-1);(2;-5);(-5;2);(-2;5);(5;-2)}
=>(x;y)∈{(0;-8);(-11;3);(-2;12);(9;1);(1;-3);(-6;4);(-3;7);(4;0)}
mà y<>0 và x<>0
nên (x;y)∈{(-11;3);(-2;12);(9;1);(1;-3);(-6;4);(-3;7)}
Bài 1:
a) x - 32 + 25 = 12 x 2
x- 32 +25 = 24
x -32 = -1
x = 31
b) 24 + x - 3 = 21
24+x = 24
x = 0
c) x * 10 : 2 = 40
x *10 = 80
x = 8
Bài 2:
a) 123 - 82 x 6= 123- 492= -369
b) 458 - 125 + 23= 333+23 = 356
c) 325 + 125 x 125 x 325= 325 + 5 078 450
Cái này giống như bài lớp 6 ý.
Bài 1 : Tìm x
a) x - 32 + 25 = 12 x 2
x - 32 + 25 = 24
x - 32 = 24 - 25
x - 32 = ( - 1 )
x = ( -1 ) + 32
x = 31
b) 24 + x - 3 = 21
24 + x = 21 + 3
24 + x = 24
x = 24 - 24
x = 0
c) x * 10 : 2 = 40
x * 10 = 40 x 2
x * 10 = 80
x = 80 : 10
x = 8
Bài 2: Tính giá trị của biểu thức
a) 123 - 82 x 6
123 - 492
-369
b) 458 - 125 + 23
333 + 23
356
c) 325 + 125 x 125 x 325
325 + 5078125
5078450
1.8100
2. 34 x 18 + 18 x 66
= 18 x ( 34 + 66)
= 18 x 100 = 1800
3. X × ( 8 + 12) = 160 + 20 × 12
= X x 20 = 160 + 240
= X x 20 = 400
X = 400 : 20 = 20
4. X x 12 - X x 2 = 2020
(12 - 2) x X = 2020
10 x X = 2020
X = 2020 : 10 = 202
1.8100
2. 34 x 18 + 18 x 66
= 18 x ( 34 + 66)
= 18 x 100 = 1800
3. X × ( 8 + 12) = 160 + 20 × 12
= X x 20 = 160 + 240
= X x 20 = 400
X = 400 : 20 = 20
4. X x 12 - X x 2 = 2020
(12 - 2) x X = 2020
10 x X = 2020
X = 2020 : 10 = 202
\(325-5\left[4^3-\left(27-5^2\right)\cdot1^{18}\right]\\ =325-5\left[64-\left(27-25\right)\cdot1\right]\\ =325-5\left(64-2\right)=325-5\cdot62=325-310=15\)
\(\left(325-317\right)^3-2\left(x-1\right)=2^{18}:8^2\)
\(8^3-2x+2=2^{18}:\left(2^3\right)^2\)
\(512-2x+2=2^{18}:2^6\)
\(514-2x=2^{18-6}\)
\(514-2x=2^{12}\)
\(-2x=4096-514\)
\(-2x=3582\)
\(x=-1791\)
1: \(=\dfrac{-\left[\left(x+5\right)^2-9\right]}{\left(x+2\right)^2}=\dfrac{-\left(x+5-3\right)\left(x+5+3\right)}{\left(x+2\right)^2}\)
\(=\dfrac{-\left(x+2\right)\left(x+8\right)}{\left(x+2\right)^2}=\dfrac{-\left(x+8\right)}{x+2}\)
2: \(=\dfrac{2x\left(x^2-4x+16\right)}{\left(x+4\right)\left(x^2-4x+16\right)}=\dfrac{2x}{x+4}\)
3: \(=\dfrac{5x\left(x^2+1\right)}{\left(x^2-1\right)\left(x^2+1\right)}=\dfrac{5x}{x^2-1}\)
4: \(=\dfrac{3\left(x^2-4x+4\right)}{x\left(x^3-8\right)}=\dfrac{3\left(x-2\right)^2}{x\left(x-2\right)\left(x^2+2x+4\right)}\)
\(=\dfrac{3\left(x-2\right)}{x\left(x^2+2x+4\right)}\)
5: \(=\dfrac{2a\left(a-b\right)}{a\left(c+d\right)-b\left(c+d\right)}=\dfrac{2a\left(a-b\right)}{\left(c+d\right)\left(a-b\right)}=\dfrac{2a}{c+d}\)
6: \(=\dfrac{x\left(x-y\right)}{\left(x-y\right)\left(x+y\right)}\cdot\left(-1\right)=\dfrac{-x}{x+y}\)
7: \(=\dfrac{2\left(1-a\right)}{-\left(1-a^3\right)}=\dfrac{-2\left(1-a\right)}{\left(1-a\right)\left(1+a+a^2\right)}=-\dfrac{2}{1+a+a^2}\)
8: \(=\dfrac{x^4\left(x^3-1\right)}{\left(x^3-1\right)\left(x^3+1\right)}=\dfrac{x^4}{x^3+1}\)
9: \(=\dfrac{\left(x+2-x+2\right)\left(x+2+x-2\right)}{16x}=\dfrac{4\cdot2x}{16x}=\dfrac{1}{2}\)
10: \(=\dfrac{0.5\left(49x^2-y^2\right)}{0.5x\left(7x-y\right)}=\dfrac{1}{x}\cdot\dfrac{\left(7x-y\right)\left(7x+y\right)}{7x-y}\)
\(=\dfrac{7x+y}{x}\)
a)15/8+3/4-5/12
=45+18-10/24
=53/24
b)11/24.12/33+5/6
=11.12/12.2.11.3+5/6
=1/6+5/6
=6/6=1
c)15/8+7/24:5/8
=15/8+7/24.8/5
=15/8+7.8/3.8.5
=15/8+7/15
=đề sai, nếu đúng thì như này
=8/15+7/15
=15/15=1