Question

rozwiąż równania:

a) -(2x-1)=4

b) 2(x+1)=x

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

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

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

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

Answer 1

a) -(2x-1)=4
-2x + 1 = 4
-2x = 4 - 1
-2x = 3    /:(-2)
x = -1,5

b) 2(x+1)=x
2x + 2 = x
2x - x = -2
x = -2

c) 2t-(3t+1)=6
2t - 3t - 1 = 6
2t - 3t = 6 + 1
-t = 7    /:(-1)
t = -7

d) -(4+x)=2(3-x)
-4 - x = 6 - 2x
-x + 2x = 6 + 4
x = 10

e) 3(y+6)-y=2(y+9)
3y + 18 - y = 2y + 18
3y - y - 2y = 18 - 18
0 = 0 równanie tożsamościowe

f) (x-7)-2(3x+5)=3
x - 7 - 6x - 10 = 3
x - 6x = 3 + 7 + 10
-5x = 20    /:(-5)
x = -4

Answer 2

a)  

-(2x-1)=4

-2x=4-1

-2x=3    /:(-2

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

 

b)

2(x+1)=x

2x-x=-2

x=-2

 

c)

2t-(3t+1)=6

-t = 6+1=7     /:-1

t = - 7

 

d)

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

-4-x=6-2x

x=10

 

e)

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

3y+18-y=2y+18

3y-y-2y=0

0=0

równanie tożsamościowe

 

f)

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

x-7-6x-10=3

-5x = 20   /: (-5

x = -4