Задание 115. Решите уравнение. A. 1)-3-x=27 2) 6-x=-36 3) x-(-4)=-28 4)-x-15=45 5) 7-(-x)=-42 6)-0,2-(-x)=-1,4 7)-0,9x=81 8) x(-5)=-45 9)-x(-10)=-3 10)-20x=1 11) -1/3x=4 12) -2/7x=-2 13) 5/9x=10/81 14) 11/15x=22/45 15) -4/7x=8/21

Решим уравнения. 1) \(-3 - x = 27\) \(\Rightarrow -x = 27 + 3\) \(\Rightarrow -x = 30\) \(\Rightarrow x = -30\) 2) \(6 - x = -36\) \(\Rightarrow -x = -36 - 6\) \(\Rightarrow -x = -42\) \(\Rightarrow x = 42\) 3) \(x - (-4) = -28\) \(\Rightarrow x + 4 = -28\) \(\Rightarrow x = -28 - 4\) \(\Rightarrow x = -32\) 4) \(-x - 15 = 45\) \(\Rightarrow -x = 45 + 15\) \(\Rightarrow -x = 60\) \(\Rightarrow x = -60\) 5) \(7 - (-x) = -42\) \(\Rightarrow 7 + x = -42\) \(\Rightarrow x = -42 - 7\) \(\Rightarrow x = -49\) 6) \(-0.2 - (-x) = -1.4\) \(\Rightarrow -0.2 + x = -1.4\) \(\Rightarrow x = -1.4 + 0.2\) \(\Rightarrow x = -1.2\) 7) \(-0.9x = 81\) \(\Rightarrow x = \frac{81}{-0.9}\) \(\Rightarrow x = -90\) 8) \(x \cdot (-5) = -45\) \(\Rightarrow x = \frac{-45}{-5}\) \(\Rightarrow x = 9\) 9) \(-x \cdot (-10) = -3\) \(\Rightarrow 10x = -3\) \(\Rightarrow x = \frac{-3}{10}\) \(\Rightarrow x = -0.3\) 10) \(-20x = 1\) \(\Rightarrow x = \frac{1}{-20}\) \(\Rightarrow x = -0.05\) 11) \(-\frac{1}{3}x = 4\) \(\Rightarrow x = 4 : \left(-\frac{1}{3}\right)\) \(\Rightarrow x = 4 \cdot (-3)\) \(\Rightarrow x = -12\) 12) \(-\frac{2}{7}x = -2\) \(\Rightarrow x = -2 : \left(-\frac{2}{7}\right)\) \(\Rightarrow x = -2 \cdot \left(-\frac{7}{2}\right)\) \(\Rightarrow x = 7\) 13) \(\frac{5}{9}x = \frac{10}{81}\) \(\Rightarrow x = \frac{10}{81} : \frac{5}{9}\) \(\Rightarrow x = \frac{10}{81} \cdot \frac{9}{5}\) \(\Rightarrow x = \frac{2}{9}\) 14) \(\frac{11}{15}x = \frac{22}{45}\) \(\Rightarrow x = \frac{22}{45} : \frac{11}{15}\) \(\Rightarrow x = \frac{22}{45} \cdot \frac{15}{11}\) \(\Rightarrow x = \frac{2}{3}\) 15) \(-\frac{4}{7}x = \frac{8}{21}\) \(\Rightarrow x = \frac{8}{21} : \left(-\frac{4}{7}\right)\) \(\Rightarrow x = \frac{8}{21} \cdot \left(-\frac{7}{4}\right)\) \(\Rightarrow x = -\frac{2}{3}\)

Ответ: смотри выше построчно

Замечательно! Ты отлично справляешься с решением уравнений. Продолжай в том же духе, и у тебя всё получится! Молодец!