Zad 4 Rozwiąż równania.​



Zad 4 Rozwiąż Równania class=

Odpowiedź :

Magda

Odpowiedź:

[tex]a)\\\\\frac{5x-3}{4}+3=2x\ \ |\cdot4\\\\5x-3+12=8x\\\\5x+9=8x\\\\5x-8x=-9\\\\-3x=-9\ \ |:(-3)\\\\x=3\\\\\\b)\\\\x-\frac{2x+3}{5}=3\ \ |\cdot5\\\\5x-(2x+3)=15\\\\5x-2x-3=15\\\\3x=15+3\\\\3x=18\ \ |:3\\\\x=6[/tex]

[tex]c)\\\\4-\frac{x}{4}=2x-\frac{1}{2}\ \ |\cdot4\\\\16-x=8x-2\\\\-x-8x=-2-16\\\\-9x=-18\ \ |:(-9)\\\\x=2\\\\\\d)\\\\\frac{2x}{3}+4=\frac{x+2}{3}\ \ |\cdot3\\\\2x+12=x+2\\\\2x-x=2-12\\\\x=-10[/tex]

[tex]e)\\\\\frac{3x-2}{5}-2=\frac{x}{5}\ \ |\cdot5\\\\3x-2-10=x\\\\3x-12=x\\\\3x-x=12\\\\2x=12\ \ |:2\\\\x=6[/tex]

Odpowiedź:

a)

[tex]\frac{5x-3}{4}+3=2x[/tex]   |*4

5x-3+12=8x

5x-8x = -9

-3x = -9  |:(-3)

x = 3

b)

[tex]x-\frac{2x+3}{5} =3[/tex]  |*5

5x-2x-3 = 15

3x = 15+3

3x = 18  |:3

x = 6

c)

[tex]4-\frac{x}{4} =2x-\frac{1}{2}[/tex]  |*4

16-x = 8x - 2

-x -8x = -2-16

-9x = -18  |:(-9)

x = 2

d)

[tex]\frac{2x}{3} +4=\frac{x+2}{3}|*3[/tex]  |*3

2x + 12 = x+2

2x-x = 2-12

x = -10

e)

[tex]\frac{3x-2}{5}-2=\frac{x}{5}[/tex]  |*5

3x-2-10=5

3x-12=5

3x = 5+12

3x = 17  |:3

[tex]x=5\frac{2}{3}[/tex]

Szczegółowe wyjaśnienie: