دانلود اپلیکیشن
معادله های زیر را حل کنید.
\(\begin{array}{l}\frac{2}{3}x - \frac{1}{2} = \frac{1}{6}\\\\\frac{3}{5}x - \frac{1}{2} = \frac{3}{4}\\\\ - \frac{6}{{25}}x - \frac{4}{{15}} = \frac{8}{3}\\\\\frac{{x + 1}}{2} = \frac{{x + 2}}{3}\end{array}\)
\(\begin{array}{l}\frac{2}{3}x - \frac{1}{2} = \frac{1}{6}\\\\\mathop \Rightarrow \limits^{ \times 6} \,\,\,\,\,4x - 3 = 1\\\\ \Rightarrow \,\,\,\,\,4x = 1 + 3 = 4\\\\ \Rightarrow \,\,\,\,\,x = \frac{4}{4} = 1\end{array}\)
\(\begin{array}{l}\frac{3}{5}x - \frac{1}{2} = \frac{3}{4}\\\\\mathop \Rightarrow \limits^{ \times 20} \,\,\,\,\,12x - 10 = 15\\\\ \Rightarrow \,\,\,\,\,12x = 15 + 10 = 25\\\\ \Rightarrow \,\,\,\,\,x = \frac{{25}}{{12}}\end{array}\)
\(\begin{array}{l} - \frac{6}{{25}}x - \frac{4}{{15}} = \frac{8}{3}\\\\\mathop \Rightarrow \limits^{ \times 75} \,\,\,\,\, - 18x - 20 = 200\\\\ \Rightarrow \,\,\,\,\, - 18x = 200 + 20 = 220\\\\ \Rightarrow \,\,\,\,\,x = \frac{{220}}{{ - 18}} = - \frac{{110}}{9}\end{array}\)
\(\begin{array}{l}\frac{{x + 1}}{2} = \frac{{x + 2}}{3}\\\\\mathop \Rightarrow \limits^{ \times 6} \,\,\,\,\,3(x + 1) = 2(x + 2)\\\\ \Rightarrow \,\,\,\,\,3x + 3 = 2x + 4\\\\ \Rightarrow \,\,\,\,\,3x - 2x = 4 - 3\\\\ \Rightarrow \,\,\,\,\,x = 1\end{array}\)
1736019749.png)
