10.Rozwiąż równanie
a) 4x-3=3x+5
b) 5x+2=7-3x
c) 3(x-1)=0
d) -6(x+1)=24
e) -7(x-2)=3x-1
f) 4(x-1)=6(1+x)​


10Rozwiąż Równaniea 4x33x5b 5x273xc 3x10d 6x124e 7x23x1f 4x161x class=

Odpowiedź :

a)

[tex]4x - 3 = 3x + 5 \\ x = 8[/tex]

b)

[tex]5x + 2 = 7 - 3x \\ 8x = 5 \\ x = \frac{5}{8} [/tex]

c)

[tex]3(x - 1) = 0 \\ 3x - 3 = 0 \\ 3x = 3 \\ x = 1[/tex]

d)

[tex] - 6(x + 1) = 24 \\ - 6x - 6 =2 4 \\ - 6x = 30 \\ x = - 5[/tex]

e)

[tex] - 7(x - 2) = 3x - 1 \\ - 7x + 14 = 3x - 1 \\ - 10x = - 15 \\ x = \frac{15}{10} = 1.5[/tex]

f)

[tex]4(x - 1) = 6(1 + x) \\ 4x - 4 = 6 + 6x \\ - 2x = 10 \\ x = - 5[/tex]

Odpowiedź:

a) 4x - 3x = 3 + 5

x = 8

b) 5x + 3x = - 2 + 7

8x = 5 |:8

x = ⁸/5

c) 3x - 3 = 0

3x = 3 + 0

3x = 3 |:3

x = 1

d) -6x - 6 = 24

-6x = 6 + 24

-6x = 30 |:(-6)

x = -5

e) -7x + 14 = 3x - 1

-7x - 3x = -14 - 1

-10x = -15 |:(-10)

x = 10/15 = ⅔

f) 4x - 4 = 6 + 6x

4x - 6x = 4 + 6

-2x = 10 |:(-2)

x = -5

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