Question

Помогите решить пожалуйста, только не с инета

Answer 1

Ответ:

a)

$\left \{ {{3x - 5y = -1} \atop {\frac{2x}{3} +\frac{y}{2} = 3 }} \right. \\\\\frac{2x}{3} +\frac{y}{2} = 3 \\\\4x + 3y = 18\\y = \frac{18-4x}{3} = 6 - \frac{4x}{3}\\ \\ 3x - 5y = -1\\3x - 5(6 - \frac{4x}{3}) = -1\\ 3x - 30 + \frac{20x}{3} = -1\\\frac{29x}{3} = 29\\x = 3\\y = 6 - \frac{4x}{3} = 6 - 4 = 2$

b)

$\left \{ {{\frac{a}{2} + \frac{b}{3} = \frac{1}{6} } \atop {\frac{a}{4} - \frac{b}{2} = \frac{3}{4} }} \right. \\\\\left \{ {{3a + 2b = 1 } \atop {a - 2b = 3 }} \right. \\\\4a = 4\\a = 1\\1 - 2b = 3\\2b = -2\\b = -1$