Решите систему уравнений методом сложения
5x-2y=16
8x+3y=38
5x-4y=10
2x-3y=-3

$left { {{5x-2y=16|*3} atop {8x+3y=38|*2}} right. left { {{15x-6y=48} atop {16x+6y=76}} right. left { {{31x=124} atop {5x-2y=16}} right. left { {{x=124:31} atop {5x-2y=16}} right. left { {{x=4} atop {5*4-2y=16}} right. left { {{x=4} atop {20-2y=16}} right.$

$left { {{x=4} atop {-2y=16-20}} right. left { {{x=4} atop {y=(-4):(-2)}} right. left { {{x=4} atop {y=2}} right.$

$left { {{5x-4y=10|*3} atop {2x-3y=-3|*(-4)}} right. left { {{15x-12y=30} atop {-8x+12y=12}} right. left { {{7x=42} atop {5x-4y=10}} right. left { {{x=42:7} atop {5x-4y=10}} right. left { {{x=6} atop {5*6-4y=10}} right.$

$left { {{x=6} atop {30-4y=10}} right. left { {{x=6} atop {-4y=10-30}} right. left { {{x=6} atop {y=(-20):(-4)}} right. left { {{x=6} atop {y=5}} right.$