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rozwiąż poniższe równania:
Ciasteczko348
23 godz. temu
Matematyka
Liceum/Technikum
rozwiązane
8x – 4 + x = 14
3x – 2 = -x + 14
2*(x-1) = 4x + 6
5x – 3 = -x + 18
-x-3 = 7x – 19
5x + 7= 2*(x+8)
3x – 1= 9 – 55
3*(x+6) = 2*(x+11)
7x – 4= 3x + 14
18x – 6 – 5x + 20
10x – 1 = 5x + 29
X + 7 = 2*(x-1)
3*(x+5) = x + 45
6*(x-4)= 5x + 3
5x – 7= x + 13
X – 8= 7x + 4
6*(x-8)= 3x + 3
7*(x+3) = 3x = 61
5*(x-1) = 8x + 1
4*(x+1) = 8x + 8


Odpowiedź :

a)

[tex]8x - 4 + x = 14 /+4\\8x + x = 18\\9x = 18 /:9\\x = 2[/tex]

b)

[tex]3x - 2 = -x + 14 /+x\\3x + x - 2 = 14 /+2\\4x = 16 /:4\\x = 4[/tex]

c)

[tex]2(x-1)=4x+6\\2x - 2 = 4x + 6 /-4x\\2x - 4x -2 = 6 /+2\\-2x = 8 /:(-2)\\x = -4[/tex]

d)

[tex]5x - 3 = -x + 18 /+x\\5x + x - 3 = 18 /+3\\6x = 21 /:6\\x = 3[/tex]

e)

[tex]3x - 1 = 9-55 \\3x - 1 = -46 /+1\\3x = -45 /:3\\x = -15[/tex]

f)

[tex]3(x+6)=2(x+11)\\3x+18=2x+22 / -2x\\3x - 2x +18 = 22 /-18\\x = 22-18\\x = 4[/tex]

g)

[tex]7x - 4= 3x + 14 /-3x\\7x -3x -4 = 14 /+4\\4x = 18 /:4\\x = 4.5[/tex]

h)

[tex]18x - 6 = 5x + 20\\13x = 26 \\x = 2[/tex]

i)

[tex]10x-1=5x+29\\5x = 30\\x = 6[/tex]

j)

[tex]x + 7 = 2(x-1)\\x + 7 = 2x - 2\\-x = -9 \\x = 9[/tex]

k)

[tex]3(x+5)=x+45\\3x + 15 = x + 45\\2x = 30\\x = 15[/tex]

l)

[tex]6(x-4)=5x+3\\6x - 24 = 5x + 3\\x = 27[/tex]

m) upewnij sie czy dobrze zapisany przyklad, sa dwa znaki rownosci choc obstawiam, ze mial byc -61

[tex]7(x+3)=3x-61\\7x + 21 = 3x - 61\\4x = 40\\x = 10[/tex]

n)

[tex]5(x-1)=8x+1\\5x-5=8x+1\\-3x = 6\\x = -2[/tex]

o)

[tex]4(x+1)=8x+8\\4x+4=8x+8\\-4x=4\\x = -1[/tex]