Question

Решите систему уравнений {
x + y = 2,
5x + 2y = 3.

Answer 1

$\left \{ {{x + y = 2} \atop {5x + 2y = 3}} \right. \\\left \{ {{x = 2 - y} \atop {5(2-y) + 2y = 3}} \right. \\\left \{ {{x = 2 - y} \atop {10 - 5y + 2y = 3}} \right. \\\left \{ {{x = 2 - y} \atop {- 3y = -7}} \right. \\\left \{ {{x = 2 - y} \atop {y = \frac{-7}{-3}}} \right. \\\left \{ {{x = 2 - y} \atop {y = \frac{7}{3}}} \right. \\\left \{ {{x = 2 - \frac{7}{3}} \atop {y = \frac{7}{3}}} \right. \\\left \{ {{x = -\frac{1}{3}} \atop {y = \frac{7}{3}}} \right.$

Ответ: $x = -\frac{1}{3}; y=\frac{7}{3}$.