Macie załącznik prosze o pomoc błagam dam naj odrazu
1) 2(x+3)=10
2x+6=10
2x=-6+10
2x=4/:2
x=2
2) 3(x-1)+2=8
3x-3+2-8=0
3x-9=0
3x=9/:3
x=3
3) 2(13-x)-9=1
26-2x-9-1=0
-2x+16=0
-2x=-16/:(-2)
x=8
4) 3(x-1)+2=-7
3-3x+2+7=0
-3x+12-0
-3x=-12/:(-3)
x=4
5) 3(x+3)=2(x+4)+x+1
3x+9=2x+8+x+1
3x+9-2x-8-x-1=0
0=0
6) 4(3x+2)+5(2x+3)=-(2x+13)
12x+8+10x+15=-2x-13
12x+8+10x+15+2x+13=0
24x+36=0
24x=-36/:24
x=-3/2
7) 4(x-2)=2(2x-1)+6(x+1)
4x-8=4x-2+6x+6
4x-8-4x+2-6x-6=0
-6x-12=0
-6x=12/:(-6)
x=-2
8) 2(x-2)-2(x-4)=5(x+1)-3x
2x-4-2x+8=5x+5-3x
2x-4-2x+8-5x-5+3x=0
-2x-1=0
-2x=1/:(-2)
x=-1/2
9) 1/2y+3=7
1/2y=-3+7
1/2y=4/:1/2
y=4*2=8
10) 3/5x+2/5=4
3/5x=-2/5+4
3/5x=18/5/:3/5
x=18/5*5/3=6
11) 7(y+3)=5y+2+2y
7y+21-5y-2-2y=0
19=0
12) y/2+1/3=7/6
y/2=-1/3+7/6
y/2=5/6/*2
y=5/6*2=5/3
26) q+3
------ -(1-y)=3,5
2
q+3
------ -1+y-3,5=0
------ -4,5+y=0
------ +y=4,5/*2
q+3+2y=9
q+3+2y-9=0
q+2y=6
28)2y+4
------=1/2y+1/*4
4
2y+4=2y+4
2y+4-2y-4=0
31) x-2 x+3
----- - ----- =1
3 2
2(x-2) 3(x+3)
------- - -------- =1
6 6
2x-4 3x+9
------ - ------ =1
2x-4-3x-9
-------------- = 1
6
-x-13
------- =1/*6
-x-13=6
-x-13-6=0
-x=19/*(-1)
x=19
32) 2a-a^2+a(2a+a)=a+18
2a-a^2+2a^2+a^2-a-18=0
2a^2+a-18=0
a=2, b=1, c=-18
Δ= 1+144=145
√Δ=√145
x₁=-1+√145/2
x₂=-1-√145/2
33) 3a(a-1)=a(3a-2)
3a^2-3a=3a^2-2a
3a^2-3a-3a^2+2a=0
a=0
34) a^2+5=5a(0,2a+3)
a^2+5=a^2+15a
a^2+5-a^2-15a=0
-15a+5=0
-15a=-5/:(-15)
a=1/3
35) 2x+5 3x+2
-------- - ------- =-1
4 5
5(2x+5) 4(3x+2)
---------- - ---------= -1
20 20
10x+25 12x+8
----------- - -------- =-1
10x+25-12x-8
------------------ = -1
20
-2x+17
---------= -1/*20
-2x+17=-20
-2x+17+20=0
-2x=-37/:(-2)
x=37/2
36) 2x+5 3x+2
------ + ------=-1
---------- + --------- = -1
---------- + -------- =-1
10x+25+12x+8
--------------------=-1
22x+33
----------- =-1/*20
22x+33=-20
22x+33+20=0
22x=-53/:22
x=-53/2
37) 9x-[4x-(4+x)]=4x-2
9x-[4x-4-x]=4x-2
9x-4x+4+x=4x-2
6x+4-4x+2=0
2x+6=0
2x=-6/:2
x=-3
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1) 2(x+3)=10
2x+6=10
2x=-6+10
2x=4/:2
x=2
2) 3(x-1)+2=8
3x-3+2-8=0
3x-9=0
3x=9/:3
x=3
3) 2(13-x)-9=1
26-2x-9-1=0
-2x+16=0
-2x=-16/:(-2)
x=8
4) 3(x-1)+2=-7
3-3x+2+7=0
-3x+12-0
-3x=-12/:(-3)
x=4
5) 3(x+3)=2(x+4)+x+1
3x+9=2x+8+x+1
3x+9-2x-8-x-1=0
0=0
6) 4(3x+2)+5(2x+3)=-(2x+13)
12x+8+10x+15=-2x-13
12x+8+10x+15+2x+13=0
24x+36=0
24x=-36/:24
x=-3/2
7) 4(x-2)=2(2x-1)+6(x+1)
4x-8=4x-2+6x+6
4x-8-4x+2-6x-6=0
-6x-12=0
-6x=12/:(-6)
x=-2
8) 2(x-2)-2(x-4)=5(x+1)-3x
2x-4-2x+8=5x+5-3x
2x-4-2x+8-5x-5+3x=0
-2x-1=0
-2x=1/:(-2)
x=-1/2
9) 1/2y+3=7
1/2y=-3+7
1/2y=4/:1/2
y=4*2=8
10) 3/5x+2/5=4
3/5x=-2/5+4
3/5x=18/5/:3/5
x=18/5*5/3=6
11) 7(y+3)=5y+2+2y
7y+21-5y-2-2y=0
19=0
12) y/2+1/3=7/6
y/2=-1/3+7/6
y/2=5/6/*2
y=5/6*2=5/3
26) q+3
------ -(1-y)=3,5
2
q+3
------ -1+y-3,5=0
2
q+3
------ -4,5+y=0
2
q+3
------ +y=4,5/*2
2
q+3+2y=9
q+3+2y-9=0
q+2y=6
28)2y+4
------=1/2y+1/*4
4
2y+4=2y+4
2y+4-2y-4=0
0=0
31) x-2 x+3
----- - ----- =1
3 2
2(x-2) 3(x+3)
------- - -------- =1
6 6
2x-4 3x+9
------ - ------ =1
6 6
2x-4-3x-9
-------------- = 1
6
-x-13
------- =1/*6
6
-x-13=6
-x-13-6=0
-x=19/*(-1)
x=19
32) 2a-a^2+a(2a+a)=a+18
2a-a^2+2a^2+a^2-a-18=0
2a^2+a-18=0
a=2, b=1, c=-18
Δ= 1+144=145
√Δ=√145
x₁=-1+√145/2
x₂=-1-√145/2
33) 3a(a-1)=a(3a-2)
3a^2-3a=3a^2-2a
3a^2-3a-3a^2+2a=0
a=0
34) a^2+5=5a(0,2a+3)
a^2+5=a^2+15a
a^2+5-a^2-15a=0
-15a+5=0
-15a=-5/:(-15)
a=1/3
35) 2x+5 3x+2
-------- - ------- =-1
4 5
5(2x+5) 4(3x+2)
---------- - ---------= -1
20 20
10x+25 12x+8
----------- - -------- =-1
20 20
10x+25-12x-8
------------------ = -1
20
-2x+17
---------= -1/*20
20
-2x+17=-20
-2x+17+20=0
-2x=-37/:(-2)
x=37/2
36) 2x+5 3x+2
------ + ------=-1
4 5
5(2x+5) 4(3x+2)
---------- + --------- = -1
20 20
10x+25 12x+8
---------- + -------- =-1
20 20
10x+25+12x+8
--------------------=-1
20
22x+33
----------- =-1/*20
20
22x+33=-20
22x+33+20=0
22x=-53/:22
x=-53/2
37) 9x-[4x-(4+x)]=4x-2
9x-[4x-4-x]=4x-2
9x-4x+4+x=4x-2
6x+4-4x+2=0
2x+6=0
2x=-6/:2
x=-3