Question

Решите систему уравнений методом сложения


5x-2y=16
8x+3y=38

5x-4y=10
2x-3y=-3

Answer 1

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

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


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

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