Question

Rozwiąż ukł. używając metody przeciwnych współczynników:

a) 4x= -5y+10

2x= 6y+18

b)3x+2y=41

5x-8y= 17

Answer 1

4x=-5y+10                         4x+5y=10/*6

2x=6y+18                           2x-6y=17/*5

                                       

4x+5y=10                            24x+30y=60

2x-6y=17/*(-2)                    10x-30y=85

                                          

4x+5y=10                            34x=145/:34

-4x-12y=-34                         x=4 9/34

____________

-5y=-24\:(-5)

y=4 4/5

 

 

3x+2y=41/*4          3x+2y=41/*(-5)

 5x-8y=17              5x-8y=17/*3

 

12x+8y=164           -15x-10y=-205

5x-8y=17                 15x-24y=51

 

17x=181/:17           -34y=154/:(-34)

x=10 11/17               y=-4 18/34

:)