Question

zadanie 1

Rozwiąż równania .

b)(3 -2x ) + (3x + 4 ) = - (3-2x) + (5x + 4 )

c) - (x+3) + ( 2x-1) = 1(+4x) + (3 + x )

d) - ( x+3) - (2x +8) = (-3-2x ) + (2x +1)

zadanie2

Rozwiąż równania

a) 2(x-3)+3(4-x)=5

b) 2(x+4)-5(x+3)=2

Answer 1

b)

3-2x+3x+4=-3+2x+5x+4

x+7=7x+1

-6x=-6

x=1

 

c)

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

x-4=5x+3

-4x=7

x=-7/4

 

d)

-x-3-2x-8=-3-2x+2x+1

-3x-11=-2

-3x=9

x=-3

 

2

a)

2x-6+12-3x=5

-x=-1

x=1

 

b)

2x+8-5x-15=2

-3x=9

x=-3

Answer 2

1. b) (3 -2x ) + (3x + 4 ) = - (3-2x) + (5x + 4 )

         3 - 2x + 3x + 4 = -3 + 2x + 5x + 4

         7 + x = 1 + 7x / -7

         x = -6 + 7x / -7x

        -6x = -6 / : (-6)

          x = 1

     c)- (x+3) + ( 2x-1) = 1(+4x) + (3 + x )

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

         x - 4 = 4 + 5x  / +4

         x = 8 + 5x / -5x

         -4x = 8 / : (-4)

         x = -2

     d) - ( x+3) - (2x +8) = (-3-2x ) + (2x +1)

         -x - 3 - 2x - 8 = -3 - 2x + 2x + 1

         -3x - 11 = -2 / +11

         -3x = 9 / : (-3)

          x = -3

 

2. a)2(x-3)+3(4-x)=5

         2x - 6 + 12 - 3x = 5

        -x + 6 = 5 /-6

        -x = -1 / :(-1)

         x = 1

     b)2(x+4)-5(x+3)=2
         2x + 8 - 5x + 15 = 2

         -3x + 23 = 2 / -23

         -3x = -21 / : (-3)

           x = 7