-7 phần x+1 - 6 phần x+27
Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
a) Ta có: \(\dfrac{-3}{5}x+\dfrac{-7}{4}=\dfrac{3}{10}\)
\(\Leftrightarrow\dfrac{-3}{5}x=\dfrac{3}{10}+\dfrac{7}{4}=\dfrac{41}{20}\)
\(\Leftrightarrow x=\dfrac{41}{20}:\dfrac{-3}{5}=\dfrac{41}{20}\cdot\dfrac{-5}{3}\)
hay \(x=-\dfrac{41}{12}\)
Vậy: \(x=-\dfrac{41}{12}\)
\(a,\dfrac{x}{7}=\dfrac{6}{21}\Rightarrow x.21=7.6=42\\ \Rightarrow x=2\\ b,\dfrac{1}{2}=\dfrac{x}{12}\Rightarrow1.12=2.x=12\\ \Rightarrow x=6\\ c,\dfrac{-7}{6}=\dfrac{x}{12}\Rightarrow-7.12=6.x=-84\\ \Rightarrow x=-14\)
\(\frac{25}{27}:\frac{4}{7}+\frac{2}{27}:\frac{4}{7}\)
\(=\frac{4}{7}\left(\frac{25}{27}+\frac{2}{27}\right)\)
\(=\frac{4}{7}.1\)
\(=\frac{4}{7}\)
| x - 1 | = \(\frac{4}{5}\)
\(\Rightarrow\orbr{\begin{cases}\left|x-1\right|=\frac{4}{5}\\\left|x-1\right|=\frac{-4}{5}\end{cases}\Rightarrow\orbr{\begin{cases}x=\frac{9}{5}\\x=\frac{1}{5}\end{cases}}}\)
\(\frac{25}{27}:\frac{4}{7}+\frac{2}{27}:\frac{4}{7}\)
= \(\left(\frac{25}{27}+\frac{2}{27}\right):\frac{4}{7}\)
=\(1:\frac{4}{7}=\frac{7}{4}\)\(=1\frac{3}{4}\)
Có: \(\dfrac{7}{6}\times\dfrac{1}{2}+\dfrac{7}{6}\times\dfrac{3}{4}+\dfrac{7}{6}+\dfrac{15}{4}\)
\(=\dfrac{7}{6}\times\left(\dfrac{1}{2}+\dfrac{3}{4}+1\right)+\dfrac{15}{4}\)
\(=\dfrac{7}{6}\times\dfrac{9}{4}+\dfrac{15}{4}\)
\(=\dfrac{63}{24}+\dfrac{90}{24}=\dfrac{51}{8}\)
7/6 × 1/2 + 7/6 × 3/4 + 7/6 × 15/4
= 7/6 × (1/2 + 3/4 + 15/4)
= 7/4 × (2/4 + 3/4 + 15/4)
= 7/4 × 5
= 35/4
a/ \(2x+\frac{1}{7}=\frac{1}{3}\)
=> \(2x=\frac{1}{3}-\frac{1}{7}=\frac{7}{21}-\frac{3}{21}\)
=> \(2x=\frac{4}{21}\)
=> \(x=\frac{4}{21}:2=\frac{4}{21}.\frac{1}{2}=\frac{2}{21}\)
b/ \(3\left(x-\frac{1}{2}\right)=\frac{4}{9}\)
=> \(x-\frac{1}{2}=\frac{4}{9}:3=\frac{4}{9}.\frac{1}{3}\)
=> \(x-\frac{1}{2}=\frac{4}{27}\)
=> \(x=\frac{4}{27}+\frac{1}{2}=\frac{8}{54}+\frac{27}{54}=\frac{35}{54}\)
c/ \(\left(x-5\right)^2+4=68\)
=> \(\left(x-5\right)^2=68-4=64\)
=> \(\left[{}\begin{matrix}x-5=8\\x-5=-8\end{matrix}\right.\)
=> \(\left[{}\begin{matrix}x=8+5=13\\x=-8+5=-3\end{matrix}\right.\)
d/ \(\left(\left|x\right|-\frac{1}{2}\right)\left(2x+\frac{3}{2}\right)=0\)
=> \(\left[{}\begin{matrix}\left|x\right|-\frac{1}{2}=0\\2x+\frac{3}{2}=0\end{matrix}\right.\)
=> \(\left[{}\begin{matrix}\left|x\right|=0+\frac{1}{2}=\frac{1}{2}\\2x=0-\frac{3}{2}=-\frac{3}{2}\end{matrix}\right.\)
=> \(\left[{}\begin{matrix}\left[{}\begin{matrix}x=\frac{1}{2}\\x=-\frac{1}{2}\end{matrix}\right.\\x=-\frac{3}{2}:2=-\frac{3}{2}.\frac{1}{2}=-\frac{3}{4}\end{matrix}\right.\)
e) \(5x+2=3x+8\)
=> \(5x-3x=8-2=6\)
=> \(2x=6\)
=> \(x=6:2=3\)
f/ \(26-\left(5-2x\right)=27\)
=> \(5-2x=26-27=-1\)
=> \(2x=5-\left(-1\right)=5+1=6\)
=> \(x=6:2=3\)
g/ \(\left(4x-8\right)-\left(2x-6\right)=4\)
=> \(4x-8-2x+6=4\)
=> \(\left(4x-2x\right)+\left(-8+6\right)=4\)
=> \(2x+-2=4\)
=> \(2x=4+2=6\)
=> \(x=6:2=3\)
h/ \(\left(x+3\right)^3:3-1=-10\)
=> \(\left(x+3\right)^3:3=-10+1=-9\)
=> \(\left(x+3\right)^3=-9.3=-27\)
=> \(x+3=-3\)
=> \(x=-3-3=-6\)

Để giải biểu thức này, ta cần tìm một mẫu số chung và sau đó kết hợp hai phân số.
1. Tìm mẫu số chung:
Mẫu số chung của (x + 1) và (x + 27) là (x + 1)(x + 27).
2. Quy đồng mẫu số:
3. Kết hợp hai phân số:
-7(x + 27) / (x + 1)(x + 27) - 6(x + 1) / (x + 1)(x + 27) = (-7x - 189 - 6x - 6) / (x + 1)(x + 27)
4. Rút gọn biểu thức:
(-7x - 189 - 6x - 6) / (x + 1)(x + 27) = (-13x - 195) / (x + 1)(x + 27)
Vậy, biểu thức rút gọn là (-13x - 195) / (x + 1)(x + 27).
\(-\dfrac{7}{x+1}-\dfrac{6}{x+27}\)
\(=\dfrac{-7\left(x+27\right)-6\left(x+1\right)}{\left(x+1\right)\left(x+27\right)}\)
\(=\dfrac{-7x-189-6x-6}{\left(x+1\right)\left(x+27\right)}=\dfrac{-13x-195}{\left(x+1\right)\left(x+27\right)}\)