[tex]\left \{ {{x-y=4x-3y+5} \atop {x+y=3x+5y-2}} \right. \\\left \{ {{-3x+2y=5\ |*2} \atop {-2x-4y=-2}} \right. \\\left \{ {{-6x+4y=10} \atop {-2x-4y=-2}} \right|+\\ \left \{ {{-8x=8\ |:(-8)} \atop {-2x-4y=-2}} \right.\\ \left \{ {{x=-1} \atop {-2*(-1)-4y=-2}} \right.\\ \left \{ {{x=-1} \atop {-4y=-4\ |:(-4)}} \right.\\ \left \{ {{x=-1} \atop {y=1}} \right.[/tex]
