Question

Срочно!! Решить систему уравнений при помощи сложения {5x-4y=10 2x-3y=38

Answer 1

$\left \{ {\bigg{5x - 4y = 10 \ \ \ \ \ | \ \cdotp (-2)} \atop \bigg{2x - 3y = 38 \ \ \ \ \ \ \ \ \ | \ \cdotp 5}} \right.$

$\left \{ {\bigg{-10x + 8y = -20} \atop \bigg{10x - 15y = 190}} \right.$

$\left \{ {\bigg{-7y = 170 \Rightarrow y = -\dfrac{170}{7} = -24\dfrac{2}{7} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ } \atop \bigg{2x - 3 \ \cdotp \bigg( -\dfrac{170}{7} \bigg) = 38 \Rightarrow x = -\dfrac{122}{7} = -17\dfrac{3}{7} }} \right.$

$\tt {OTBET:}$ $x = -17\dfrac{3}{7}; \ y = -24\dfrac{2}{7}$