решить систему уравнений: 2x+5=1-x+2y 14x-5=9x-3y-2

$\left \{ {{2x+5=1-x+2y} \atop {14x-5=9x-3y-2}} \right. \\ \\ \left \{ {{2x +x -2y=1-5} \atop {14x-9x+3y=-2+5}} \right. \\ \\ \left \{ {{3x-2y=-4} \atop {5x+3y=3}} \right. \\$

умножим верх на 3 , а низ на 2 и суммуем.

$\left \{ {{9x-6y=-12} \atop {10x+6y=6}} \right. \\ \\ 19x=-6 \\ x = -\frac{6}{19}\\ \\ 3 *(-\frac{6}{19}) - 2 y = -4\\ \\ -\frac{18}{19} - 2y = -4\\ \\ -2y = -4 + \frac{18}{19}\\ \\ -2y = -\frac{58}{19}\\ \\ y = \frac{29}{19}$