Question

Решите систему
$left { {5(x+2y)-3=x+5} atop {y+4(x-3y)=50 }} right.$

Answer 1

$left { {{5(x+2y)-3=x+5} atop {y+4(x-3y)=50}} right. textless = textgreater left { {{5x+10y-3=x+5} atop {y+4x-12y=50}} right. textless = textgreater left { {{4x+10y=8} atop {4x-11y=50}} right. = textgreater \= textgreater left { {{x= frac{8-10y}{4} } atop {4*frac{8-10y}{4}-11y=50}} right. = textgreater \4*frac{8-10y}{4}-11y=50};\8-10y-11y=50;\-21y=42;\y= frac{42}{-21} =-2;\left { {{x= frac{8-10y}{4} } atop {y=-2}} right. textless = textgreater left { {{x=7} atop {y=-2}} right.$