Question

1. 1/2(x-4)-2(y-3)=11

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

(równanie w klamerce)

2. 1/4(2x-4)-(y-3)= -1

2(y-1)- 1/3(x-1)=7

(równanie w klamerce)

3. 3/4(x+3)-(3-y)= -1

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

(równanie w klamerce)

4. 1/3(x+1)-3(2y-1)=11

2(3-x)+1/4(y+1)= -4

(równanie w klamerce)

Answer 1

1.

1/2(x-4)-2(y-3)=11

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

 

1/2x-2-2y+6=11

3x-3-1/3y-2=2

 

1/2x-2y=11-6+2

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

 

1/2x-2y=7   /*(-6)

3x-1/3y=7

 

-3x+12y=-42

 3x-1/3y=7

------------------

     11i2/3y=-35   

       35/3y= -35   /*3/35

             y= -35*3/35

             y= -3

1/2x-2*(-3)=7

1/2x+6=7

1/2x=7-6    /*2

x=2

2.

1/4(2x-4)-(y-3)= -1

2(y-1)-1/3(x-1)=7

 

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

2y-2-1/3x+1/3=7

 

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

-1/3x+2y=7-1/3+2

 

1/2x-y= -3   /*6

-1/3x+2y=8i2/3   /*9

 

 3x-6y= -18

-3x+18y=78

-------------------------

      12y=60   /:12

         y=5

1/2x-5= -3

1/2x=-3+5

1/2x=2   /*2

x=4

3.

3/4(x+3)-(3-y)= -1

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

 

3/4x+9/4-3+y= -1

1/2x-5/2+2y+2= -2

 

3/4x+y= -1+3-2i1/4

1/2x+2y= -2-2+2i1/2

 

3/4x+y= -1/4   /*4/3

1/2x+2y=-1i1/2   /*(-2)

 

 x+4/3y= -1/3

-x-4y= 3

------------------------

   -2i2/3y=2i2/3

      -8/3y=8/3   /*(-3/8)

           y= -1

3/4x-1= -1/4

3/4x= 1-1/4

3/4x=3/4   /*4/3

x=1

4.

1/3(x+1)-3(2y-1)=11

2(3-x)+1/4(y+1)= -4

 

1/3x+1/3-6y+3=11

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

 

1/3x-6y=11-3-1/3

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

 

1/3x-6y=7i2/3   /*6

-2x+1/4y=-10i1/4

 

 2x-36y=46

-2x+1/4y=-10i1/4

--------------------------------

     -35i3/4y=-35i3/4   /:(-35i3/4)

               y=1

1/3x-6*1=7i2/3

1/3x=7i2/3+6

1/3x=41/3   /*3

x=123/3

x=41