1510.1){x/2 - y/3 = 1 |*6{x/5 - y/4 = - 1 |*20{3x - 2y = 6 {4x - 5y = -20 ⇒ -5y = -20-4x ⇒ y =(20+4x)/5 ⇒ y= 4 + 0.8x3x - 2*(4+0.8x) = 63x - 8 - 1.6x = 61.4x = 6+81.4x= 14x=14/1.4 = 140/14x= 10y=4+0.8*10y=4+8y= 12ответ: (10 ; 12)2){x/3 - y/2 = -3 |*6{x/2 + y/5 = 5 |*10{2x -3y = -18 ⇒ 2x=-18+3y ⇒ x= (-18+3y)/2 ⇒ x=0.5(-18 +3y) ⇒x=-9+1.5y{5x +2y = 50 5*(-9 + 1.5y) + 2y = 50-45 + 7.5y + 2y = 509.5y = 50 + 459.5y= 95y=95/9.5 = 950/95y=10x= -9 + 1.5*10x= - 9 + 15x= 6ответ: (6;10)№1511.1) {x/10 - y/5 = 0 |*10{5x/3 - y/6 = 7 |*6{x - 2y = 0 ⇒ x=2y{2*5x +y = 42 10 * 2y +y = 4220y +y = 4221y = 42y= 42/21y= 2 x= 2 * 2x= 4 ответ: (4 ; 2)2) {x/4 +y/8 = 2 |*8{2x/9 + y/6 = 1 |*18{2x +y = 16 ⇒ y= 16-2x{4x + 3y = 184x + 3*(16-2x) = 184x +48 - 6x = 18-2x = 18-48-2x = -30x= - 30 /(-2)x= 15y= 16 - 2*15y= 16 - 30y= -14ответ: (15 ; - 14)№1512.1){2(x - 2y) = x - 8y{5(x+y) = 2(x-y) + 10{2x -4y = x - 8y{5x +5y = 2x - 2y + 10{2x - 4y - x +8y=0{5x +5y -2x +2y =10{x +4y =0 ⇒ x = -4y{3x +7y = 103 *(-4y) + 7y = 10-12y + 7y = 10-5y= 10y= 10/(-5)y= - 2x= -4 * (-2)x= 8ответ : (8 ; - 2)2){3(х+4у) -4х = 2(2х+у){7(x-5y) +6x=3(x+4y)+27{3x+12y -4x = 4x +2y{7x -35y +6x = 3x +12y +27{-x -4x = 2y -12y{13x -35y -3x -12y = 27{ -5x = -10y |: (-5){ 10x - 47y = 27{x=2y{10x - 47y = 2710*2y -47y = 2720y - 47y = 27-27y = 27y = -1x= 2*(-1)x= -2ответ: (-2; - 1)