1. 3x + y = -6 2x - 3y = 10 y= -6 -3x 2x - 3 * (-6 - 3x) =10 y= -6 -3x 2x + 18 + 9x =10 y= -6 -3x 11x = 10 -18 y = -6 -3x 11x = -8 /:11 y = -6 -3x x = - 8/11 y = -6 -3 * (-8/11) x = -8/11 y = -6 - 3/1 * (-8/11) x = -8/11 y = -6 + 24/11 x = -8/11 y = -6/1 + 24/11 x = -8/11 y = -17/11 + 24/11 x = -8/11 y = 7/11 x = -8/11 2. x + y = 3 x - 3y =11 x +y = 3 x = 11 + 3y 11 + 3y + y =3 x = 11 + 3y 4y = 3 - 11 x = 11 + 3y 4y = -8 /: 4 x = 11 + 3y y = -2 x = 11+ 3 * (-2) y = -2 x = 11- 6 y = -2 x = 5 3. 2x + y = 3 3x -5y = 50 y = 3 - 2x 3x - 5 * (3 - 2x) = 50 y = 3 - 2x 3x - 15 + 10x = 50 y = 3 - 2x 13x = 50 + 15 y = 3 - 2x 13x = 65 /: 13 y = 3 - 2x x =65/13 y = 3 - 2x x = 5 y = 3 - (2 * 5) x = 5 y = 3 - 10 x = 5 y = -7 x = 5 4. x + y = 5 -2x - 2y = -10 x = 5 -y -2 (5 -y) - 2y = -10 x = 5 - y -10 + 2y - 2y = -10 x = 5 -y 2y - 2y = 10 -10 x = 5 - y 0 = 0 5. x - y = 5 2x +2y =3 x = 5 + y 2 * (5 + y) + 2y = 3 x = 5 + y 10 + 2y + 2y = 3 x = 5 +y 4y = 3 -10 x = 5 + y 4y = -7 /: 4 x = 5 + y y = -7/4 x = 5 + (-7/4) y = -7/4 x = 5/1 - 7/4 y = -7/4 x = 9/4 - 7/4 y = -7/4 x = 2/4 y = 1 i 3/4
Znajdź wspólne rozwiązania układów równań metodą prób i błędów (PILNE proszę niech ktoś zrobi mi to zadanie mam je mieć na jutro Daje naj za zrobienie ;) ):
1. 3x + y = -6
2x - 3y = 10
2. x + y = 3
x - 3y = 11
3. 2x + y = 3
3x - 5y = 50
4. x + y = 5
-2x - 2y = -10
5. x - y = 5
2x + 2y = 3
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