1.Rozwiąż równania
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
2. Załącznik
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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
2x=4-10
2x=-6|:(2)
x=-3
d. -(2x-1)=4
-2x+1=4
-2x=4-1
-2x=3|:(-2)
x=(-1,5)
e. 2(x+1)=x
2x+2=x
2x-x=-2
1x=-2|:1
x=(-2)
f. 2t-(3t+1)=6
2t-3t-1=6
2t-3t=6+1
-1t=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+10+7
-5x=20|:(-5)
x=(-4)
a)x+2x=x+9
x+2x-x=9
2x=9|:2
x=4,5
b)y+2y-5=11-y
y+2y+y=11+5
4y=16|:4
y=4
c)3a+4=a-1+a+7
3a-a-a=-1+7-4
a=2
d)10-2b+6-b=10-b+4-b
-2b-b+b+b=10+4-10-6
-b=-2|:(-1)
b=2
Zadanie 1
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
2x = 4 - 10
2x = - 6 / : 2
x = - 3
d) - ( 2x - 1 ) = 4
- 2x + 1 = 4
- 2x = 4 - 1
- 2x = 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
2t - 3t = 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
Zadanie 2
a) x + 2x = x + 9
x + 2x - x = 9
2x = 9 / : 2
x = 4,5
b) y + 2y - 5 = 11 - y
y + 2y + y = 11 + 5
4y = 16 / : 4
y = 4
c) 3a + 4 = a - 1 + a + 7
3a - a - a = - 1 + 7 - 4
a = 2
d) 10 - 2b + 6 - b = 10 - b + 4- b
- 2b - b + b + b = 10 + 4 - 10 - 6
- b = - 2 / : - 1
b = 2
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