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\(1,\frac{-x}{15}=\frac{10}{25}\)
\(\Leftrightarrow\frac{-x}{15}=\frac{2}{5}\Leftrightarrow\left(-x\right).5=2.15\)
\(\Leftrightarrow\left(-x\right).5=30\)
\(\Leftrightarrow-x=6\Rightarrow x=-6\)
\(2,\frac{x+1}{14}=\frac{10}{35}\)
\(\Leftrightarrow\frac{x+1}{14}=\frac{2}{7}\)
\(\Leftrightarrow\left(x+1\right).7=2.14\)
\(\Leftrightarrow7x+7=28\)
\(\Leftrightarrow7x=21\)
\(\Rightarrow x=3\)
\(3,\frac{\left|x+2\right|}{26}=\frac{12}{39}\)
\(\Leftrightarrow\frac{\left|x+2\right|}{26}=\frac{4}{13}\)
\(\Leftrightarrow\left|x+2\right|.13=4.26\)
\(\Leftrightarrow\left|x+2\right|.13=104\)
\(\Leftrightarrow\left|x+2\right|=8\)
\(\Leftrightarrow\orbr{\begin{cases}x+2=8\\x+2=-8\end{cases}}\Leftrightarrow\orbr{\begin{cases}x=6\\x=-10\end{cases}}\)
Vậy x = 6 hoặc x = -10
\(4,x-\left(1\frac{1}{3}-\frac{2}{3}\right)=2\)
\(\Leftrightarrow x-\left(\frac{4}{3}-\frac{2}{3}\right)=2\)
\(\Leftrightarrow x-\frac{2}{3}=2\)
\(\Leftrightarrow x=2+\frac{2}{3}\)
\(\Leftrightarrow x=\frac{8}{3}\)
\(5,\frac{2}{5}:x-\frac{1}{5}=\frac{3}{5}\)
\(\Leftrightarrow\frac{2}{5}:x=\frac{3}{5}+\frac{1}{5}\)
\(\Leftrightarrow\frac{2}{5}:x=\frac{4}{5}\)
\(\Leftrightarrow x=\frac{2}{5}:\frac{4}{5}\)
\(\Rightarrow x=\frac{1}{2}\)
\(6,\frac{1}{2}.\left(3x-\frac{2}{5}\right)=\left(-3\right)^2\)
\(\Leftrightarrow\frac{1}{2}.\left(3x-\frac{2}{5}\right)=9\)
\(\Leftrightarrow3x-\frac{2}{5}=9:\frac{1}{2}\)
\(\Leftrightarrow3x-\frac{2}{5}=18\)
\(\Leftrightarrow3x=\frac{92}{5}\)
\(\Leftrightarrow x=\frac{92}{5}:3\)
\(\Rightarrow x=\frac{92}{15}\)
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Bài 3.
Tính số học sinh của lớp 6A.
lớp của 6A trường câụ là bao nhiêu rồi ghi vó là được
chúc bạn học tốt
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a) \(x\in\left\{-1;0;1;2\right\}\)
b) \(x\in\left\{0;1;2;3;4;5\right\}\)
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\(a,\frac{x}{7}=\frac{6}{21}\)
\(\Leftrightarrow21x=7\times6\)
\(21x=42\)
\(x=42\div21\)
\(x=2\)
\(b,-1\frac{1}{8}+\frac{2}{3}x=-\frac{3}{4}\)
\(-\frac{9}{8}+\frac{2}{3}x=-\frac{3}{4}\)
\(\frac{2}{3}x=-\frac{3}{4}-\frac{9}{8}\)
\(\frac{2}{3}x=-\frac{6}{8}-\frac{9}{8}\)
\(\frac{2}{3}x=-\frac{15}{8}\)
\(x=-\frac{15}{8}\div\frac{2}{3}\)
\(x=-\frac{15}{8}\times\frac{3}{2}\)
\(x=-\frac{45}{16}\)
\(c,\frac{3}{8}-\frac{1}{6}x=\frac{1}{4}\)
\(\frac{1}{6}x=\frac{3}{8}-\frac{1}{4}\)
\(\frac{1}{6}x=\frac{3}{8}-\frac{2}{8}\)
\(\frac{1}{6}x=\frac{1}{8}\)
\(x=\frac{1}{8}\div\frac{1}{6}\)
\(x=\frac{1}{8}\times6\)
\(x=\frac{6}{8}=\frac{3}{4}\)
\(d,\frac{x-1}{25}=\frac{4}{5}\)
\(\Leftrightarrow5\left(x-1\right)=25\times4\)
\(5\left(x-1\right)=100\)
\(5x-5=100\)
\(5x=100+5\)
\(5x=105\)
\(x=105\div5\)
\(x=21\)