Question

Розв’яжіть систему рівнянь зручним для вас способом:​

Answer 1

$\displaystyle\bf\\\left \{ {{2(5x-4)-3(3-4y)=5} \atop {6(7y-1)-(2+3x)=31}} \right.\\\\\\\left \{ {{10x-8-9+12y=5} \atop {42y-6-2-3x=31}} \right. \\\\\\\left \{ {{10x+12y=5+17} \atop {-3x+42y=31+8}} \right.\\\\\\\left \{ {{10x+12y=22} \atop {-3x+42y=39}} \right. \\\\\\\left \{ {{5x+6y=11} \atop {-x+14y=13} \ |\cdot 5} \right. \\\\\\+\left \{ {{5x+6y=11} \atop {-5x+70y=65}} \right. \\-----------\\67y=76\\\\y=76:67=1\frac{9}{67}$

$\displaystyle\bf\\x=14y-13=14\cdot \frac{76}{67} -13=15\frac{59}{67}-13=2\frac{59}{67} \\\\\\Otvet \ : \ \Bigg(2\frac{59}{67} \ ; \ 1\frac{9}{67} \Bigg)$