Question

Помогите решить систему уравнения! Подробно

Answer 1

$left { {2(x+y)=8} atop {14-3(x-y)=5y-x}} right. left { { 2x+2y=8} atop {14-3x+3y=5y-x}} right. left { { 2x=8-2y} atop {14-3x+3y-5y+x=0}} right. left { { x= frac{(8-2y)}{2} } atop {-3x+3y-5y+x=-14}} right. left { { x= frac{(8-2y)}{2} } atop {-2x-2y=-14}} right. left { { x= frac{(8-2y)}{2} } atop {-2( frac{(8-2y)}{2})-2y=-14}} right.$$left { { x= frac{8}{2} - frac{-2y}{2} } atop {-2( frac{(8-2y)}{2})-2y=-14}} right. left { { x=4 + 2y } atop {-2(4 + 2y)-2y=-14}} right. left { { x=4 + 2y } atop {-8 -4y -2y=-14}} right. left { { x=4 + 2y } atop {-6y=-6}} right. left { { x=4 + 2y } atop {y= frac{-6}{-6} }} right. left { { x=4 + 2*1 } atop {y=1 }} right. left { { x=6 } atop {y=1 }} right.$