Question

rozwiąż równania

1 -(4-2x)-(2x+4)=(3x-1)+(2x-5)-(7-3x)

2 3(x-4)-4(2x-7)=2(x+5)

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

proszę o (dokładne)rozpisanie tych równań I SPRAWDZENIE ;) Z GÓRY DZIĘKI ;P;P

Answer 1

rozwiąż równania

1        -(4-2x)-(2x+4)=(3x-1)+(2x-5)-(7-3x)=

         - 4 +2x -2x-4 = 3x -1 +2x-5 -7 +3x

         -8 - 8x =  -13

             -8x = -13 +8

             -8x = -5   /:(-8)

                x = 5/8

L(5/8) = -(4 -2*5/8) - (2*5/8+4)

L(5/8)= -(32/8 -10/8) -(10/8 + 32/8)

L(5/8)= -(22/8) - (42/8)

L(5/8)  = -22/8 - 42/8

L(5/8) = - 64/8

 

P(5/8) = (3*5/8 -1) + (2*5/8 -5) -(7 -3*5/8)

P(5/8) = (15/8 -8/8)+ (10/8 - 40/8)- (56/8 - 15/8)

P(5/8) = 7/8 + (-30/8) - (41/8)

P(3/8) = - 23/8 - 41/8 =

P(3/8) =  - 64/8

 

L(5/8) = P(5/8)

 

2        3(x-4)-4(2x-7)=2(x+5)

           3x -12 -8x +28 = 2x +10

           -5x +16 = 2x +10

           -5x -2x = 10 -16

             -7x = -6         /:(-7)

                x = 6/7

 

L(6/7) = 3*(6/7 -4) - 4(2*6/7 -7)

L(6/7) = 3*(6/7 -28/7) - 4*(12/7 - 49/7)

L(6/7) = 3*(-22/7) - 4*(-37/7)

L(6/7) = -66/7 + 148/7

L(6/7) = 82/7

 

P(6/7) = 2(6/7 +5)

P(6/7) = 2*(6/7 + 35/7)

P(6/7) = 2*41/7)

P(6/7) = 82/7

 

L(6/7) = P(6/7)

 

3        2(2x-3)+3(4-x)= -(x+1)

         4x -6 +12 -3x = -x -1

            x +6 = -x -1

            x +x = -1 -6

            2x = -7             /:2

              x = -7/2

              x = - 3½

 

L(-7/2) = 2*[2*(-7/2) -3 ] + 3*[ 4 - (-7/2)] =

L(-7/2) = 2*[-7 -3] + 3*[8/2 +7/2]

L(-7/2) = 2*(-10) + 3*15/2

L(-7/2) = -20 + 45/2

L(-7/2) = - 40/2 +45/2

L(-7/2) = 5/2

 

P(-7/2) = - (-7/2 +1)

P(-7/2) =  - (-7/2 + 2/2)

P(-7/2) = - ( -5/2)

P(-7/2) = 5/2

 

L(-7/2) = P(-7/2)

 

Answer 2

1        -(4-2x)-(2x+4)=(3x-1)+(2x-5)-(7-3x)

-4-2x-2x-4=3x-1+2x-5-7+3x

-2x-2x-3x-2x-3x=-1-5-7+4+4

-12x=-5   /: -12

x=

 

 

 

2        3(x-4)-4(2x-7)=2(x+5)

3x-12-8x+28=2x+10

3x-8x-2x=10+12-28

-7x=-6  /:7

x=