1. a) \(\dfrac{x-3}{5}=\dfrac{7}{x-1}\)
b) \(\left(x-5\right)^{x+1}-\left(x-5\right)^{x+11}=0\)
2. Cho \(\dfrac{a+5}{a-5}=\dfrac{b+6}{b-6}\)( a khác 5; b khác 6)
CMR: \(\dfrac{a}{b}=\dfrac{5}{6}\)
Cho \(\dfrac{a+5}{a-5}=\dfrac{b+6}{b-6}\) (a ≠ 5; b ≠ 6). Chứng minh rằng \(\dfrac{a}{b}=\dfrac{5}{6}\)
mọi người ơi giúp mik với, ai làm đc mik tick cho
dạng : tỉ lệ thức
tìm x biết
a, \(\dfrac{x-2}{-1,2}=\dfrac{-5}{2}\)
b, \(\dfrac{-6}{x+1}=\dfrac{1,8}{9}\)
c, \(\dfrac{-3}{x}=\dfrac{x}{-12}\)
d, \(\dfrac{x-4}{x-1}=\dfrac{3}{5}\)
e,\(\dfrac{1,12}{-10}=\dfrac{11,2}{x}\)
Tìm x:
1) \(\dfrac{1,2}{30}\)\(=\dfrac{3x+4}{50}\)
2) \(\dfrac{x-1}{x-5}\)\(=\dfrac{6}{7}\)
3) \(\dfrac{x-1}{3}\)\(=\dfrac{x+3}{5}\)
4) \(\dfrac{3}{7}\)\(=\dfrac{2x+1}{3x+5}\)
5) \(\dfrac{2x+3}{3x+1}\)\(=\dfrac{3}{4}\)
6) \(\dfrac{2x+3}{6}\)\(=\dfrac{7x-3}{15}\)
7) \(\dfrac{6x-5}{-7}\)\(=\dfrac{5x-3}{-5}\)
8) \(\dfrac{x+1}{x-2}\)\(=\dfrac{3}{4}\)
9) \(\dfrac{2x-3}{x+1}\)\(=\dfrac{4}{7}\)
10) \(\dfrac{2x+3}{7}\)\(=\dfrac{4x-1}{15}\)
11) \(\dfrac{2x+3}{24}\)\(=\dfrac{3x-1}{32}\)
12) \(\dfrac{2x+4}{7}\)\(=\dfrac{4x-2}{15}\)
13) \(\dfrac{11x-2}{7x+5}\)\(=\dfrac{11}{8}\)
14) \(\dfrac{12-7x}{-13}\)\(=\dfrac{4-3x}{-5}\)
15) \(\dfrac{52}{2x-1}\)\(=\dfrac{13}{30}\)
tính
a, \(\left(\dfrac{5}{3}-\dfrac{1}{2}\right):\left(\dfrac{3}{4}-\dfrac{5}{2}\right)\)
b,\(\left(\dfrac{1}{6}+\dfrac{1}{3}\right)^2\cdot\left(1+\dfrac{2}{3}-\dfrac{5}{4}\right)\)
c, \(\dfrac{4^{30}\cdot3^{43}}{2^{57}\cdot27^{15}}\)
1.Tìm x trong các tỉ lệ thức sau:
a,\(16:x^2+x:\left(-4\right)\)
b,\(x:0,27=3:x\)
c,\(0,81:\dfrac{x}{2}=\dfrac{16}{x^4}:\left(-0,9\right)\)
d,\(\dfrac{x-1}{x+2}=\dfrac{x-2}{x+3}\)
e,\(\left(x+15\right):x=\dfrac{4}{3}\)
f,\(\left(x-20\right):\left(x-10\right)=\left(x+40\right):\left(x+70\right)\)
2.Tìm số nguyên x mà khi cùng thêm vào tử và mẫu của phân số \(\dfrac{26}{39}\) ta được phân số mới có giá trị bằng \(\dfrac{6}{7}\)
3. Cho \(\dfrac{a+5}{a-5}=\dfrac{b+6}{b-6}\) (với a≠5, b≠6). Chứng minh rằng \(\dfrac{a}{b}=\dfrac{5}{6}\)
a) \(\dfrac{1,2}{x+3}=\dfrac{5}{4}\)
b) \(\dfrac{3}{5}:\dfrac{2x}{15}=\dfrac{1}{2}:\dfrac{4}{5}\)
c) \(\dfrac{-4}{2,5}:3,5=1,5:x\)
d)\(0,12:3=2x:\dfrac{3}{5}\)
1) \(\dfrac{-5}{\dfrac{12}{\left|\dfrac{2}{3}x+\dfrac{1}{2}\right|}}\)= \(\dfrac{\dfrac{-4}{9}}{\dfrac{8}{15}}\)
2) \(\dfrac{\left|3x-5\right|}{-3}\)= \(\dfrac{\dfrac{-5}{6}}{\dfrac{4}{9}}\)
1) \(\dfrac{x}{\dfrac{-5}{9}}\)= \(\dfrac{\dfrac{4}{3}}{\dfrac{-2}{5}}\)
2) \(\dfrac{7}{\dfrac{5}{3x}}\)= \(\dfrac{-\dfrac{4}{9}}{\dfrac{5}{6}}\)