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b) -8(-3-7y+2z)= 24 + 56y - 16z
c)(3a+7)(3a-1)= 9a² + 21a - 3a - 7 = 9a² + 18a - 7
d) (-4a-4)(5a-2)= - 20a² - 20a + 8a + 8 = - 20a² - 12a + 8
Rozwiąż równania:
a)
3x-5=9
3x = 9 + 5 = 14
x = 14/3 = 4 2/3
b)
-2x+3=7
- 2x = 7 - 3 = 4
2x = - 4
x = - 4/2 = - 2
c)
2x +5+x-2=12
3x = 12 + 2 - 5 = 9
x = 9/3 = 3
d)
2(x+4) + 6x=8
2x +8 + 6x = 8
8x = 8 - 8 = 0
x = 0/8 = 0
e)
x+8(kreska ułamkowa):5=20
(x + 8)/5 = 20 / * 5
x + 8 = 100
x = 100 - 8 = 92
f)
5(kreska ułamkowa) x-4=3/2
5/(x - 4) = 3/2 założenie x ≠ 4
5 * 2 = (x - 4) * 3
3x - 12 = 10
3x = 10 + 12 = 22
x = 22/3 = 7 1/3
Rozwiąż układy równań:
a)
3y+x=0
y-x=4 4
dodajemy stronami
3y + y + x - x = 44
4y = 44
y = 44/4 = 11
y - x = 44
11 - x = 44
- x = 44 - 11
- x = 3
x = - 3
odp
x = - 3
y = 11
b)
x-y=3 / * 3
2x+3y=11
3x - 3y = 9
2x + 3y = 11
dodajemy stronami
3x + 2x - 3y + 3y = 9 + 11
5x = 20
x = 20/5 = 4
3x - 3y = 9
3 * 4 - 3y = 9
12 - 3y = 9
- 3y = 9 - 12 = - 3
3y = 3
y = 3/3 = 1
odp
x = 4
y = 1