解方程
$2x+\frac{1}{2}x= \frac{5}{8}$
$(1-\frac{1}{6})x= \frac{2}{3}$
$x+\frac{2}{7}x= \frac{4}{21}$
$(1+\frac{5}{6})x= 22$
$2x+\frac{1}{2}x= \frac{5}{8}$
$(1-\frac{1}{6})x= \frac{2}{3}$
$x+\frac{2}{7}x= \frac{4}{21}$
$(1+\frac{5}{6})x= 22$
答案:
解析:
这些题目都是一元一次方程,需要通过合并同类项和移项来求解。
答案:
1. 解:$2x + \frac{1}{2}x = \frac{5}{8}$
合并同类项得:$\frac{5}{2}x = \frac{5}{8}$
两边同时除以$\frac{5}{2}$,得:$x = \frac{5}{8} × \frac{2}{5} = \frac{1}{4}$
2. 解:$(1 - \frac{1}{6})x = \frac{2}{3}$
化简得:$\frac{5}{6}x = \frac{2}{3}$
两边同时除以$\frac{5}{6}$,得:$x = \frac{2}{3} × \frac{6}{5} = \frac{4}{5}$
3. 解:$x + \frac{2}{7}x = \frac{4}{21}$
合并同类项得:$\frac{9}{7}x = \frac{4}{21}$
两边同时除以$\frac{9}{7}$,得:$x = \frac{4}{21} × \frac{7}{9} = \frac{4}{27}$
4. 解:$(1 + \frac{5}{6})x = 22$
化简得:$\frac{11}{6}x = 22$
两边同时除以$\frac{11}{6}$,得:$x = 22 × \frac{6}{11} = 12$
这些题目都是一元一次方程,需要通过合并同类项和移项来求解。
答案:
1. 解:$2x + \frac{1}{2}x = \frac{5}{8}$
合并同类项得:$\frac{5}{2}x = \frac{5}{8}$
两边同时除以$\frac{5}{2}$,得:$x = \frac{5}{8} × \frac{2}{5} = \frac{1}{4}$
2. 解:$(1 - \frac{1}{6})x = \frac{2}{3}$
化简得:$\frac{5}{6}x = \frac{2}{3}$
两边同时除以$\frac{5}{6}$,得:$x = \frac{2}{3} × \frac{6}{5} = \frac{4}{5}$
3. 解:$x + \frac{2}{7}x = \frac{4}{21}$
合并同类项得:$\frac{9}{7}x = \frac{4}{21}$
两边同时除以$\frac{9}{7}$,得:$x = \frac{4}{21} × \frac{7}{9} = \frac{4}{27}$
4. 解:$(1 + \frac{5}{6})x = 22$
化简得:$\frac{11}{6}x = 22$
两边同时除以$\frac{11}{6}$,得:$x = 22 × \frac{6}{11} = 12$
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