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1.
c)
-5x-17 = -9x+3
-5x+9x = 3+17
4x = 20 /:4
x = 5
g)
7x+2 = 3+5x+9
7x-5x = 12-2
2x = 10 /:2
x = 5
2.
a)
2(x-3)+3(4-x) = 5
2x-6+12-3x = 5
-x+6 = 5
-x = 5-6
-x = -1 /:(-1)
x = 1
c)
2(x+4)-5(x+3) = 2
2x+8-5x-15 = 2
-3x-7 = 2
-3x = 2+7
-3x = 9 /:(-3)
x = -3
d)
-2(x+3)+4(2x+3) = -6
-2x-6+8x+12 = -6
6x+6 = -6
6x = -6-6
6x = -12 /:6
x = -2
3.
a)
(4-2x)-(x+3) = (x-5)+(-3-x)
4-2x-x-3 = x-5-3-x
-3x+1 = -8
-3x = -8-1
-3x = -9 /:(-3)
x = 3
b)
(3-2x)+(3x+4) = -(3-2x)+(5x+4)
3-2x+3x+4 = -3+2x+5x+4
x+7 = 1+7x
x-7x = 1-7
-6x = -6 /:(-6)
x = 1
c)
-(x+3)+(2x-1) = (1+4x)+(3+x)
-x-3+2x-1 = 1+4x+3+x
x-4 = 5x+4
-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
-3x = -2+11
-3x = 9 /:(-3)
x = -3
4.
b)
(4-x)-(2x+3)+(x-4) = -(2x-3)-(x+7)
4-x-2x-3+x-4 = -2x+3-x-7
-2x-3 = -3x-4
-2x+3x = -4+3
x = -1
c)
(4x-5)+(x-7)-(2x-8) = (-3x+4)-(x-6)
4x-5+x-7-2x+8 = -3x+4-x+6
3x-4 = -4x+10
3x+4x = 10+4
7x = 14 /:7
x = 2
d)
-(4-2x)-(2x+4) = (3x-1)+(2x-5)-(7-3x)
-4+2x-2x-4 = 3x-1+2x-5-7+3x
-8 = 8x-13
-8+13 = 8x
5 = 8x /:8
x = 0,625
c) -5x-17=-9x+3
-5x+9x=17+3
4x=20 |:4
x=5
g)7x+2=5+3x+9
7x-3x= -2+5+9
4x=12|:4
x=3
Zad.2
a)2(x-3)+3(4-x)=5
2x-6+12-3x=5
-x+6=5
-x=5-6
-x= -1|* (-1)
x=1
c) 2(x+4)-5(x+3)=2
2x +8-5x-15=2
-3x-7=2
-3x=7+2
-3x=9|:(-3)
x= -3
d)-2(x+3)+4(2x+3) = -6
-2x-6+8x+12 = -6
6x+6 = -6
6x = -6-6
6x = -12 /:6
x = -2
Zad.3
a) (4-2x)-(x+3)=(x-5)+(-3-x)
4-2x-x-3=x-5-3-x
-3x+1=-8
-3x=-8-1
-3x=-9|: (-3)
x=3
b) (3-2x)+(3x+4)= -(3-2x)+(5x+4)
3-2x+3x+4=3+2x+5x+4
7+x=7+7x
7-7=-x+7x
0=-6x
To jest równanie tożsamościowe.
c) -(x+3)+(2x-1)=(1+4x)+(3+x)
x-3+2x-1=1+4x+3+x
3x-4=4+5x
3x-5x=4+4
-2x=8|:(-2)
x= -4
d)-(x+3)-(2x+8) = (-3-2x)+(2x+1)
x-3-2x-8=-3-2x+2x+1
-x-11=-2
-x=11-2
-x=9|*(-1)
x=(-9)
Zad.4
b)(4-x)-(2x+3)+(x-4) = -(2x-3)-(x+7)
4-x-2x-3+x-4=2x+3-x-7
-2x-3 = -3x-4
-2x+3x = -4+3
x =(-1)
c)(4x-5)+(x-7)-(2x-8) = (-3x+4)-(x-6)
4x-5+x-7-2x+8 = -3x+4-x+6
3x-4 = -4x+10
3x+4x = 10+4
7x = 14 /:7
x = 2
d)-(4-2x)-(2x+4) = (3x-1)+(2x-5)-(7-3x)
-4+2x-2x-4 = 3x-1+2x-5-7+3x
-8 = 8x-13
-8+13 = 8x
5 = 8x /:8
x = 0,625
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