Линейное уровнение (1) {2y-3x=6 {y-3x=9 (2) {4x-5y=-22 3x+2y=18 (3) {5x+6y=0 3x+4y=4
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Ответы на вопрос:
(1) {2y-3x=6 => {2y-3x=6 => 2y+9-y=6 => y=-3
{y-3x=9 => {-3x=9-y => => -3x=9 - (-3) => x= -4
(x,y)=(-4; -3)
(2) {4x-5y=-22 => {4x-5y=-22 => 4(6 - 2/3 y) - 5y= -22 => y=6
3x+2y=18 => x=6 - 2/3 y => => x=6- 2/3 *6 => x=2
(x,y)=(2,6)
(3) {5x+6y=0 => {5x+6y=0 => 5(4/3 - 4/3y)+6y=0 => y=10
3x+4y=4 => x=4/3 - 4/3y => => x=4/3 - 4/3*10 => x=-12
(x,y)=(-12,10)
Решение решите систему уравнений (x+y)(x-y)=0 2x-y=1 x² - y² = 0 y = 2x - 1 y = 2x - 1 x² - (2x - 1)² = 0 x² - 4x² + 4x - 1 = 0 - 3x² + 4x - 1 = 0 3x² - 4x+ 1 = 0 d = 16 - 4*3*1 =4 x1 = (4 - 2)/6 x1 =1/3 x2 = (4 + 2)/6 x2 =1 x1 = 1/3 y1 = 2*(1/3) - 1 y1 = - 1/3 x2 = 1 y2 = 2*1 - 1 y2 = 1 ответ: (1/3; - 1/3) ; (1; 1)
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