Question

1) Rozwiąż układ równań:

y/2-(x-2y)/3=x+1/6
2x - 3y = 5

Answer 1

y/2-(x-2y)/3=x+1/6     /*6
2x - 3y = 5

 

3y-2(x-2y)=6x+1

2x-3y=5

 

3y-2x+4y-6x=1

2x-3y=5

 

7y-8x=1

-3y+2x=5     /*4

 

7y-8x=1

-12y+8x=20

 

-5y=21    /:(-5)

 

y=-21/5

 

2x-3*(-21/5)=5

 

2x+63/5=5

 

2x=5-63/5

 

2x=25/5-63/5

 

2x=-38/5   /:2

 

x=-38/5*1/2

 

x=-19/5

 

x=-19/5

y=-21/5

 

x=-3 i 4/5

y=-4 i 1/5

 

Answer 2

y/2-(x-2y)/3=x+1/6  |*6

2x - 3y = 5

3y-2(x-2y)=x+1

3y-2x+4y=x-1

3y-4y-2x-x=-1

7y-3x=-1

2x=3y+5  |:2

x=(3y+5)/2

7y-3*(3y+5)/2=-1

7y-(9y+15)/2=-1  |*2

14y-9y+15=-2

5y+15=-2

y=-17/5

x=(3*(-15/5)+5)/2

x=(-45/5+5)/2

x=(-9+5)/2

x=-4/2

x=-2

y=-17/5