Question

nie muszą być wszystkie rozwiązane <ale jak najwiecej prosze>:*

a)1/2x +1/2y=1/2

3x+y=-1

b)x+2/3=y-5/-4

3x+2y=6

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

x-3y=2

d)2x-y=4

x-3/4=y-2/5

e) - x+y/2 + 5x-y/3=7x-3y/5

3/y+1=5/x-1

f) y-4=-2x

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

g)2y-(x-3)*(x+3)=-48-(x-5)(5+x)

y+x/2- x-y/4= 0,75

d) 3*[pierwiastek4(x-1/6y)-5dopotegi0]=-2(y-3x)

2*[pierwiastek9(x-y)-2 1/4]=-3(2y-x)

Answer 1

a)1/2x +1/2y=1/2      /* 2

   3x+y=-1

 

x + y = 1       / * (-3)

 3x+y=-1

 

-3x – 3y = -3

3x + y = -1

-------------- 

-2y = -4     / : (-2)

   y  = 2

x + 2 = 1

x = 1 – 2

 

x = -1

y = 2

 

b)x+2/3=y-5/-4         /*12

  3x+2y=6

 

12x + 8 = 12y + 15

3x+2y=6              /* -4

 

12x -12 y = 7

-12x – 8y = -24

------------------------  

-20y = - 17

y = 17/20

3x + 2 * 17/20 = 6

3x  + 17/10 = 6   /* 10

30x + 17 = 60

30x = 60 – 17

30x = 43

x = 43/30

 

 c)x-2/3+ y+1/2=2      /*6

  x-3y=2

 

6x – 4 + 6y + 3 = 12

x – 3y = 2

 

6x + 6y = 13

x- 3y = 2      /*2

 

6x + 6y = 13

2x- 6y = 4

----------------- 

8x = 17  

x = 17/8

17/8 – 3y = 2    /* 8

17 – 24y = 16

-24y = 16 -17

-24y = -1    /: (-24)

y  = 1/24   

 

d)2x-y=4

  x-3/4=y-2/5      /* 20

 

2x-y=4

20x – 15 = 20y – 8

 

2x-y=4        /* (-10)

20x – 20y = 7

 

-20x + 10y = -40

20x-20y = 7

-------------------- 

-10y = -34     /  : (-10)

 y = 3,4

2x – 3,4 = 4

2x = 4 + 3,4

2x = 7,4         /:2

x =  3,7

 

e)

-(x+y)/2 +(5x-y)/3 = (7x-3y)/5     /*30
3/y+1=  5/x-1

 

-15( x+y) + 10(5x –y) = 6(7x – 3y)

3(x-1) = 5(y+1)

 

-15x – 15 y + 50x – 10y = 42x – 18y

3x – 3 = 5y + 5

 

-15x – 15 y + 50x – 10y - 42x +18y = 0

3x – 5y = 5+8

 

-7x – 7y =0  

3x – 5y = 13

 

-7x = 7y     /: (-7)

3x – 5y = 13

 

x = -y

 3* (-y) – 5y = 13

 

x = -y

-8y = -13    /: (-8)

 

x = -y

y = 13/8

 

x = -13/8

y = 13/8

 

f) y-4=-2x

   -1-2(x-2y)=-(x-2)*(2+x)-(3-x)(x+3)

 

y + 2x = 4

-1 -2x + 4y = -( 2x + x² - 4 – 2x) –( 3x + 9 - x² - 3x)

 

y + 2x = 4

-1 – 2x + 4y = - 2x - x² + 4 + 2x – 3x – 9 + x² + 3x

 

y + 2x = 4

-2x + 4y = 1 -5

 

y + 2x = 4

4y -2x = -4

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

5y =0

Y=0

 0 – 4 = -2x

-2x = -4   /: (-2)

  x= 2

 

g)2y-(x-3)*(x+3)=-48-(x-5)(5+x)

  (y+x)/2 - (x-y)/4 =0, 75

 

2y –( x² - 9) = -48 – ( x² -25)

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

 

2y - x² +9 = -48 -x² + 25

2(y + x) – (x – y) = 3

 

2y = -48 + 25 -9

2y+ 2x -x  +y = 3

 

2y = -32    /:2

3y + x = 3

 

y =  -16

3* (-16 ) + x = 3

 

y= -16

x = 3 + 48

 

y= -16

x = 51  

 

h)  3*[√4(x-1/6y)-5⁰]=-2(y-3x)

     2*[√9(x-y)-2 1/4]=-3(2y-x)

 

3*[ 2(x-1/6y) – 1] = -2y + 6x

2*[3(x-y) -21/4] = - 6y + 3x

 

3( 2x – 1/3y -1) = -2y + 6x

2(3x – 3y – 21/4) = -6y + 3x

 

6x –y – 3 = -2y + 6x

6x – 6y – 10,5 = - 6y + 3x

 

6x –y + 2y – 6x = 3

6x – 6y + 6y -3x = 10,5

 

y = 3

3x = 10,5   /: 3

 

y = 3

x = 3,5