\(12\frac{14}{25}\cdot6\frac{10}{12}=12\frac{14}{25}\cdot6\frac{5}{6}=\frac{314}{25}\cdot\frac{41}{6}=\frac{314\cdot41}{25\cdot6}=\frac{157\cdot2\cdot41}{25\cdot3\cdot2}=\frac{6437}{75}\)

\(5\frac{6}{9}\div7\frac{6}{3}=ERROR\)

\(12\frac{14}{25}x25\frac{10}{12}=\frac{314}{25}x\frac{310}{12}=\frac{97340}{300}=\frac{4867}{15}\)

\(5\frac{6}{9}:7\frac{6}{3}=\frac{51}{9}:\frac{27}{3}=\frac{51}{9}x\frac{3}{27}=\frac{153}{243}=\frac{17}{27}\)

a, 45+(-5)+7-12-5

=40+7-12-5

=47-12-5

=35-5

=30

b,|x+25|-12=27

=>|x+25|=27+12

=>|x+25|=39

=>\(\orbr{\begin{cases}x+25=-39\\x+25=39\end{cases}}\)=>\(\orbr{\begin{cases}x=-39-25\\x=39-25\end{cases}}\)=>\(\orbr{\begin{cases}x=-64\\x=64\end{cases}}\)

Vậy x thuộc {-64,60}

c,(x+3).(y-5)=15

những số nhân với nhau mà bằng 15 là : 3.5;5.3

TH1: (x+3) =3 khi  (y-5) = 5

 TH2: (x+3)=5 khi (y-5) =3

vậy trong Th1 thì x sẽ = 0, y sẽ = 10

trong TH2 thì x sẽ =2 , y sẽ =8

A. x = 2

B. \(\dfrac{3}{8}=\dfrac{6}{x}\)\(\Leftrightarrow x=\dfrac{6.8}{3}=16\)

C. x = 3

D. \(x=\dfrac{4.6}{8}=3\)

E. \(x=\dfrac{7}{3}\)

G.\(\dfrac{14}{13}=\dfrac{28}{10-x}\)

<=>\(14\left(10-x\right)=364\)

<=> 10 - x = 26 

<=> x = -16 

H. \(3\left(x+2\right)=4\left(x-5\right)\)

<=> 3x + 6  = 4x - 20 

<=> -x = -26

<=> x = 26

K. \(\dfrac{x}{2}=\dfrac{8}{x}\)

<=> \(x^2=16\)

<=> \(\left[{}\begin{matrix}x=4\\x=-4\end{matrix}\right.\)

M. \(\left(x-2\right)^2=100\)

<=> \(\left[{}\begin{matrix}x-2=10\\x-2=-10\end{matrix}\right.\)

\(\Leftrightarrow\left[{}\begin{matrix}x=12\\x=-8\end{matrix}\right.\)

a=2

b=16

c=3

d=3

mik chỉ biết thế này thôi(ko chắc đúng=3)

A, \(\dfrac{x}{5}=\dfrac{2}{5}\Rightarrow x=2\)

B,\(\dfrac{3}{8}=\dfrac{6}{x};\dfrac{3}{8}=\dfrac{3\cdot2}{8\cdot2}=\dfrac{6}{16}\Rightarrow x=16\)

C,\(\dfrac{1}{9}=\dfrac{x}{27};\dfrac{1}{9}=\dfrac{1\cdot3}{9\cdot3}=\dfrac{3}{27}\Rightarrow x=3\)

D,\(\dfrac{4}{x}=\dfrac{8}{6};\dfrac{4}{x}=\dfrac{4\cdot2}{x\cdot2}=\dfrac{8}{2x}\)

   \(\Rightarrow2x=6;6=x:2;x=3\)

a) 3 + x - ( 3x - 1 ) = 6 - 2x

\(\Rightarrow3+x-3x+1=6-2x\)

\(\Rightarrow-2x+4=6-2x\)

\(\Rightarrow-2x+2x=-4+6\)

\(\Rightarrow0x=-2\)

\(\Rightarrow x=\varnothing\)

Vậy: \(x=\varnothing\)

b) -12 . (x - 5 ) + 7.(3 - x ) = 5

\(\Rightarrow-12x+60+21-7x-5=0\)

\(\Rightarrow-19x+76=0\)

\(\Rightarrow-19x=-76\)

\(\Rightarrow x=\frac{76}{19}\)

Vậy: \(x=\frac{76}{19}\)

c) 30. ( x + 2 ) - 6 . ( x - 5 ) - 24x = 100

\(\Rightarrow30x+60-6x+30-24x-100=0\)

\(\Rightarrow0x-10=0\)

\(\Rightarrow x=\varnothing\)

Vậy: \(x=\varnothing\)

1)5^x+1 + 6.5^x+1 = 875

   5^x+1 ( 1+6 ) = 875

   5^x+1 . 7 = 875

5^x+1 = 875 : 7

5^x+1 = 125

5^x+1 = 5³

x+1 = 3

x = 3 - 1

x = 2

2)3^x+1 + 3^x+3 = 810

  3^x . 3 + 3² . 3^x+1 = 810

  3^x . 3 + 9 . 3^x . 3 = 810

  3^x .3 ( 1 + 9 ) = 810

  3^x+1 . 10 = 810

  3^x+1 = 810 : 10

  3^x+1 = 81

  3^x+1 = 3⁴ 

x+1 = 4

x = 4-1

x = 3

=> -12x + 60 + 21 - 7x = 5

=> -19x + 81 = 5

=> -19x = 5 - 81 = -76

=> 19x = 76

X = 4

\(\dfrac{2}{5}+\dfrac{1}{3}=\dfrac{6+5}{15}=\dfrac{11}{15}\)

\(\dfrac{16}{24}+\dfrac{1}{3}=\dfrac{2}{3}+\dfrac{1}{3}=1\)

\(\dfrac{7}{12}+\dfrac{4}{6}+\dfrac{3}{8}=\dfrac{14}{24}+\dfrac{16}{24}+\dfrac{9}{24}=\dfrac{39}{24}=\dfrac{13}{8}\)

\(1+\dfrac{1}{12}=\dfrac{12+1}{12}=\dfrac{13}{12}\)

2/5+1/3= 6/15+5/15=11/15

2/5+1/3=11/15

16/24+1/3=1

7/12+4/6+3/8=13/8

1+1/12=13/12

4⁶.9⁵ + 6⁹.120 / 8⁴.3¹² - 6¹¹

= 2¹².3¹⁵ + 2¹².3¹⁰.5 / 2¹².3¹² - 2¹¹.3¹¹

= 2¹². 3¹⁰.( 3⁵ + 5 ) / 2¹¹.3¹¹( 2.3 - 1 )

= 2 . 248 / 3 . 5 = 496/15