Question

a) -3x = 2x - 10

b) 2x - 2 = 7-x

c) 10 = 4-2x

d) -(2x-1) = 4

e) 2(x+1) = x

f) 2t - (3t +1) + 6

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

h) 3 (y +6) -y =2(y+9)

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

baaaardzo ważne , muszą być obliczenia ,, rozwiązywanie równań,,

Answer 1

a) -3x = 2x - 10 | +10 ; +3x

10 = 5x | : 5

x = 2

 

b) 2x - 2 = 7- x | + 2 ; + x

3x = 9 | : 3

x = 3

 

c) 10 = 4 - 2x | - 4

6 = -2x | : (-2)

3 = x

d) - (2x - 1) = 4

 

-2x + 1 = 4 | +2x ; - 4

-3 = 2x | : 2

-3/2 = 1,5 = x

 

e) 2 (x + 1) = x

2x + 2 = x | -x ; -2

x = -2

 

f) 2t - (3t +1) + 6 =

2t - 3t - 1 + 6 = -t + 5 

 

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

-4 - x = 6 - 2x | +4 ; + 2x

x = 10

 

h) 3 (y +6) -y =2(y+9)

3y + 18 - y = 2y + 18

2y + 18 = 2y + 18

równanie tożsamościowe

( każda liczba równa jest y ) 

 

i) (x-7) - 2(3x + 5) = 3 

x -  7 - 6x - 10 = 3

- 5x - 17 = 3 | + 17

- 5x = 20 | : (-5)

x = -4

 

Pozdrawiam! ; D

Answer 2

a) -3x = 2x - 10

-3x-2x = -10

-5x = -10  /:(-5)

x = 2

 

b) 2x - 2 = 7-x 

2x+x = 7+2

3x = 9  /:3

x = 3

 

c) 10 = 4-2x

10-4 = -2x

6 = -2x  /:(-2)

x = -3

 

d) -(2x-1) = 4 

-2x+1 = 4

-2x = 4-1

-2x = 3  /:(-2)

x = -3/2

x = -1 1/2

 

e) 2(x+1) = x

2x+2 = x

2x-x = -2

x = -2

 

f) 2t - (3t +1) + 6

2t-3t-1 = 6

-t = 6+1

-t = 7  /:(-1)

t = -7

 

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

-4-x = 6-2x

-x+2x = 6+4

x = 10

 

h) 3 (y +6) -y =2(y+9)

3y+18-y = 2y+18

3y-y-2y = 18-18

0 = 0

 

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

x-7-6x-10 = 3

x-6x = 3+7+10

-5x = 20  /:(-5)

x = -4