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Bài 1:suy ra 5*(44-x)=3*(x-12)
220-5x=3x-36
-5x-3x=-36-220
-8x =-256
x=32
Bài 2 :Đặt a/3=b/4=k
suy ra a=3k ; b=4k
Ta có a*b=48
suy ra 3k*4k=48
12k =48
k=4
suy ra a=3*4=12
b=4*4 =16
Bài 3: áp dụng tính chất dãy số bằng nhau ta được
a+b+c+d/3+5+7+9 = 12/24=0,5
suy ra a=1,5; b=2,5; c=3,5; d=4,
1. Ta có:\(\frac{a}{2}=\frac{b}{3}=\frac{c}{4}=\frac{a+2b-3c}{2+6-12}=\frac{-20}{-4}=5\)
\(\Rightarrow\hept{\begin{cases}\frac{a}{2}=5\\\frac{b}{3}=5\\\frac{c}{4}=5\end{cases}}\)
\(\Rightarrow\hept{\begin{cases}a=10\\b=15\\c=20\end{cases}}\)
2. Ta có:\(\frac{a}{2}=\frac{b}{3}\Rightarrow\frac{a}{10}=\frac{b}{15}\)
\(\frac{b}{5}=\frac{c}{4}\Rightarrow\frac{b}{15}=\frac{c}{12}\)
\(\Rightarrow\frac{a}{10}=\frac{b}{15}=\frac{c}{12}=\frac{a-b+c}{10-15+12}=\frac{-49}{7}=-7\)
\(\Rightarrow\hept{\begin{cases}\frac{a}{10}=-7\\\frac{b}{15}=-7\\\frac{c}{12}=-7\end{cases}}\)
\(\Rightarrow\hept{\begin{cases}a=-70\\b=-105\\c=-84\end{cases}}\)
1. Ta có:a2 =b3 =c4 =a+2b−3c2+6−12 =−20−4 =5
| a2 =5 |
| b3 =5 |
| c4 =5 |
| a=10 |
| b=15 |
| c=20 |
2. Ta có:a2 =b3 ⇒a10 =b15
b5 =c4 ⇒b15 =c12
⇒a10 =b15 =c12 =a−b+c10−15+12 =−497 =−7
| a10 =−7 |
| b15 =−7 |
| c12 =−7 |
| a=−70 |
| b=−105 |
| c=−84 |
\(\frac{x}{-7}=\frac{5}{-35}\)
\(\frac{x.5}{-35}=\frac{5}{-35}\)
=> x . 5 = 5
x = 5 : 5
x = 1
a, \(A=\frac{19}{24}-\frac{1}{2}-\frac{1}{3}-\frac{7}{24}=(\frac{19}{24}-\frac{7}{24})-\frac{1}{2}-\frac{1}{3}\)
\(=\frac{12}{24}-\frac{1}{2}-\frac{1}{3}\)
\(=\frac{1}{2}-\frac{1}{2}-\frac{1}{3}=0-\frac{1}{3}=-\frac{1}{3}\)
\(B=\frac{7}{12}+\frac{5}{6}+\frac{1}{4}-\frac{3}{7}-\frac{5}{12}=(\frac{7}{12}-\frac{5}{12})+\frac{5}{6}+\frac{1}{4}-\frac{3}{7}\)
\(=\frac{1}{6}+\frac{5}{6}+\frac{1}{4}-\frac{3}{7}\)
\(=1+\frac{1}{4}-\frac{3}{7}=\frac{23}{28}\)
b, Thay thế A = \(-\frac{1}{3}\)và B = \(\frac{23}{28}\)ta có :
\(-\frac{1}{3}-x=\frac{23}{28}\)
\(\Rightarrow x=-\frac{1}{3}-\frac{23}{28}=-\frac{28}{84}-\frac{69}{84}=\frac{-28-69}{84}=\frac{-97}{84}\)
Do \(\frac{a}{b}=\frac{3}{5}\)nên \(b=\frac{3}{5}a\)
Do \(\frac{a-168}{b+168}=\frac{7}{9}\) nên \(9\left(a-168\right)=7\left(b+168\right)\)
\(\Rightarrow9a-1512=7b+1176\)
\(\Rightarrow9a-1512=\left(7b-1512\right)+2688\)
\(\Rightarrow2688=\left(9a-1512\right)-\left(7b-1512\right)\)
\(\Rightarrow2688=\left(9a-1512\right)-\left(7.\frac{3}{5}a-1512\right)\)
\(\Rightarrow2688=\left(91-1512\right)-\left(\frac{21}{5}a-1512\right)\)
\(\Rightarrow2688=9a-1512-\frac{21}{5}a+1512\)
\(\Rightarrow2688=9a-\frac{21}{5}a\)
\(\Rightarrow2688=\left(9-\frac{21}{5}\right)a\)
\(\Rightarrow2688=\frac{24}{5}a\)
\(\Rightarrow a=2688:\frac{24}{5}=560\)
\(\Rightarrow b=\frac{3}{5}.560=336\)