Odpowiedź:
1.
2w - [3w - (2 + 4w) + 5(w - 1)] = 6 + 4(w - 2)
2w - (3w - 2 - 4w + 5w - 5) = 6 + 4w - 8
2w - (4w - 7) = 4w - 2
2w - 4w + 7 = 4w - 2
-2w - 4w = -2 - 7
-6w = -9 /:(-6)
w = 9/6 = 1 3/6 = 1 1/2
2.
7 + 5[3(h - 1) - 2(4 - 3h)] = 7(h + 3) + 14h
7 + 5(3h - 3 - 8 + 6h) = 7h + 21 + 14h
7 + 5(9h - 11) = 21h + 21
7 + 45h - 55 = 21h + 21
45h - 21h = 21 + 48
24h = 69 /:24
h = 69/24 = 2 21/24 = 2 7/8
3.
2x + 3(x + 1) - 4[(x - 1) * 2 - 3(x + 2)] = 8(1 - x) + 7
2x + 3x + 3 - 4(2x - 2 - 3x - 6) = 8 - 8x + 7
5x + 3 - 4(-x - 8) = -8x + 15
5x + 3 + 4x + 32 = -8x + 15
9x + 8x = 15 - 35
17x = -20 /:17
x = -20/17 = -1 3/17
4.
3m - 2[2m - 3(m + 5)] = 4m - 11
3m - 2(2m - 3m - 15) = 4m - 11
3m - 2(-m - 15) = 4m - 11
3m + 2m + 30 = 4m - 11
5m - 4m = -11 - 30
m = -41
5.
-2(y - 9) + 5(y - 3) = 9 - 7(3y + 6)
-2y + 18 + 5y - 15 = 9 - 21y - 42
3y + 3 = -21y - 33
3y + 21y = -33 - 3
24y = -36 /:24
y = -36/24 = -3/2 = -1 1/2
Szczegółowe wyjaśnienie:
Odpowiedź:
Szczegółowe wyjaśnienie:
Po opuszczeniu nawiasów:
[1]
2w-[3w-2-4w+5w-5]=6+4w-8
2w-3w+2+4w-5w+5=4w-2
[następny krok, to litery na lewo, liczby na prawo - przenosząc, zmieniamy znak]
2w-3w+4w-5w-4w=-2-2-5
-6w=-9 /:(-6}
w=9/6
w=3/2
[2]
7+5[3h-3-8+6h]=7h+21+14h
7+5[9h-11]=21h+21
7+45h-55=21h+21
45h-21h=21-7+55
24h=69 /:24
h=69/24
h=23/8
h=2 i 7/8
[3]
2x+3x+3-4[2x-2-3x-6]=8-8x+7
2x+3x+3-8x+8+12x+24=15-8x
2x+3x-8x+12x+8x=15-3-8-24
17x=-20 /:17
x= -20/17
x= -1 i 3/17
[4]
3m-2[2m-3m-15]=4m-11
3m-4m+6m+30=4m-11
3m-4m+6m-4m= -11-30
m= -41
[5]
-2y+18+5y-15=9-21y-42
-2y+5y+21y=9-42-18+15
24y= -36 /:24
y= -36/24
y= -3/2