Question

Rozwiąż równania:

a) 3(x-4)-4(2x-7) = 2(x+5)
b) 2(2x-3)+3(4-x) = -(x+1)
c) 2(x-3)-4(3+x) = -3(x+2)+2(2x-1)
d) 6(x+1)+3(2-x) = 2(2x-1)-(4-x)
e) 2(x-7)-3(x+2) = 4(x+3)+2(x+9)
f) -3(x+6)-6(2x+8) = -2(4-x0+9(x+8)
g) -8(x+2)+3(x+5) = -2(2x+3)+4(2x-1)
h) 2x-7-[3-2(1-2x)] = x-11
i) 10-[2(1-x)-3(2x+5)] = x-11
j) 8-3x-2[4-(x+5)] = 3(x+1)-1

Proszę o pomoc.! ;p

Answer 1

A) 3(x-4)-4(2x-7) = 2(x+5)
3x-12-8x+14=2x+10
3x-8x-2x=10+12-14
-7x=-8
x=8/7

b) 2(2x-3)+3(4-x) = -(x+1)
4x-6+12-3x=-x-1
4x-3x+x=-1+6-12
2x=-7
x=-3,5

c) 2(x-3)-4(3+x) = -3(x+2)+2(2x-1)
2x-6-12-4x=-3x-6+4x-2
2x-4x+3x-4x=-6-2+6+12
-3x=10
x=-10/3

d) 6(x+1)+3(2-x) = 2(2x-1)-(4-x)
6x+6+6-3x=4x-2-4+x
6x-3x-4x-x=-2-4-6-6
-2x=-20
x=10

e) 2(x-7)-3(x+2) = 4(x+3)+2(x+9)
2x-14-3x-6=4x+12+2x+18
2x-3x-4x-2x=12+18+14+6
-7x=50
x=-50/7

f) -3(x+6)-6(2x+8) = -2(4-x0+9(x+8)
-3x-18-12x-48=-2(4-x+9x+72)
-3x-18-12x-48=-8+2x-18x-144
-3x-12x-2x+18x=-8-144+18+48
x=-86

g) -8(x+2)+3(x+5) = -2(2x+3)+4(2x-1)
-8x-16+3x+15=-4x-6+8x-4
-8x+3x+4x-8x=-6-4+16-15
-9x=-7
x=7/9

h) 2x-7-[3-2(1-2x)] = x-11
2x-7-(3-2+4x)=x-11
2x-7-6+2-4x=x-11
2x-4x-x=-11+7+6-2
-3x=0
x=0

i) 10-[2(1-x)-3(2x+5)] = x-11
10-(2-2x-6x-15)=x-11
10-2+2x+6x+15=x-11
2x+6x-x=-11-10+2-15
7x=-34
x=-34/7

j) 8-3x-2[4-(x+5)] = 3(x+1)-1
8-3x-(4-x-5)=3x+3-1
8-3x-4+x+5=3x+3-1
-3x+x-3x=3-1-8+4-5
-5x=-7
x=1,4

nie wiem czy dobrze są, bo dziwne wyniki wychodzą ;))

Answer 2

A) 3(x-4)-4(2x-7) = 2(x+5)
3x - 12 - 4x - 28 = 2x +10
-3x = 10 + 28 +12
-3x= 40
x = - 13 (3)

b) 2(2x-3)+3(4-x) = -(x+1)
4x - 6 + 12 - 3x = -x -1
x + x = -1 + 6 - 12
2x = - 7
x = - 7/2 = - 3 i 1/2

c) 2(x-3)-4(3+x) = -3(x+2)+2(2x-1)
2x - 6 - 12 - 4x = -3x - 6 + 4x - 2
-2x + 3x - 4x = 12 + 6 -6 -2
-3x = 10
x= - 10/3 = - 3 i 1/3

d) 6(x+1)+3(2-x) = 2(2x-1)-(4-x)
6x + 6 + 6x - 3x = 4x -2 - 4 -x
12x - 3x - 4x + x = -6 -2 - 4
6x = -12
x = -2

e) 2(x-7)-3(x+2) = 4(x+3)+2(x+9)
2x -14 - 3x -6 = 4x +12 + 2x + 18
-7x = 40
x= 40 /7 = 5 i 5/7

f) -3(x+6)-6(2x+8) = -2(4-x)+9(x+8)
-3x -12 - 12x - 48 = 8x + 2x +9x +72
- 15x + 19x = 72 - 60
4x = 8
x = 2

g) -8(x+2)+3(x+5) = -2(2x+3)+4(2x-1)
-8x - 16 + 3x + 15 = - 4x - 6 + 8x - 4
-5x - 4x = -10
-9x = -10
x = 0.9

h) 2x-7-[3-2(1-2x)] = x-11
2x - 7 - [3(2+4x)] = x-11
2x - 7 - 6 - 12x = x - 11
- 11x = -11 +13
- 11x = 2 / - 11
x = -2/18

i) 10-[2(1-x)-3(2x+5)] = x-11
10 - [2-2x - 6x - 15 ] = x- 11
10 + 8x - 13 = x-11
7x = 8
x = 8/7

j) 8-3x-2[4-(x+5)] = 3(x+1)-1
8 - 3x - 8 + 2x - 10 = 3x +3 - 1
2x = 10 - 1 + 3
2x = 12
x = 6

Answer 3

A) 3(x-4)-4(2x-7) = 2(x+5)
3x-12-8x+28 = 2x+10
3x-8x-2x = 10-28+12
-7x = -6 |:(-7)
x = 6/7

b) 2(2x-3)+3(4-x) = -(x+1)
4x-6+12-3x = -x-1
4x-3x+x = -1+6-12
2x = -7 |:2
x = -7/2

c) 2(x-3)-4(3+x) = -3(x+2)+2(2x-1)
2x-6-12-4x = -3x-6+4x-2
2x-4x+3x-4x = -8+18
-3x = 10 |:(-3)
x = -10/3

d) 6(x+1)+3(2-x) = 2(2x-1)-(4-x)
6x+6+6-3x = 4x-2-4+x
6x-3x-4x-x = -6-12
-2x = -18 |:(-2)
x = 9

e) 2(x-7)-3(x+2) = 4(x+3)+2(x+9)
2x-14-3x-6 = 4x+12+2x+18
2x-3x-4x-2x = 30+20
-7x = 50 |:(-7)
x = -50/7

f) -3(x+6)-6(2x+8) = -2(4-x0+9(x+8)
-3x-18-12x-48 = -2(4-x) +9(x+8)
-15x-66 = -8+2x+9x+72
-15x-11x = 64+66
-26x = 130 |:(-26)
x = -5

g) -8(x+2)+3(x+5) = -2(2x+3)+4(2x-1)
-8x-16+3x+15 = -4x-6+8x-4
-5x-4x = -10+1
-9x = -9 |:(-9)
x = 1

h) 2x-7-[3-2(1-2x)] = x-11
2x-7-(3-2+4x) = x-11
2x-7-1-4x = x-11
-2x-x = -11+8
-3x = -3 |:(-3)
x = 1

i) 10-[2(1-x)-3(2x+5)] = x-11
10-(2-2x-6x-15) = x-11
10-2+2x+6x+15 = x-11
8x-x = -11-23
7x = -34 |:7
x = -34/7

j) 8-3x-2[4-(x+5)] = 3(x+1)-1
8-3x-2(4-x-5) = 3x+3-1
8-3x-8+2x+10 = 3x+2
-x-3x = 2-10
-4x = -8 |:(-4)
x = 2