Odpowiedź:
[tex]4 x - 3 = 6x + 7 \\ 4x - 6x = 7 + 3 \\ - 2x = 10 \: \: | \div ( - 2) \\ x = - 5 [/tex]
[tex]6x - x + (2x - 3) = 3(2 - x) \\ 6x - x + 2x - 3 = 6 - 3x \\ 6x - x + 2x + 3x = 6 + 3 \\ 10x = 9 \: \: | \div 10 \\ x = \frac{9}{10} [/tex]
[tex] \frac{x}{3} - \frac{x}{6} = 4 + \frac{x}{2} \: \: \: | \times 6 \\ 2x - x = 24 + 3x \\ 2x - x - 3x = 24 \\ - 2x = 24 \: \: \: | \div ( - 2) \\ x = - 12[/tex]
[tex]2x - 13 = 14(1 - 0.5x) \\ 2x - 13 = 14 - 7x \\ 2x + 7x = 14 + 13 \\ 9x = 27 \: \: \: | \div 9 \\ x = 3[/tex]
[tex] \frac{x + 3}{3} - \frac{x - 4}{2} = 0 \: \: \: | \times 6 \\ 2(x + 3) - 3(x - 4) = 0\\ 2x + 6 - 3x + 12 = 0 \\ 2x - 3x = - 12 - 6 \\ - x = - 18 \: \: \: | \div ( - 1) \\ x = 18[/tex]
Odpowiedź:
Szczegółowe wyjaśnienie:
a)
4x-3=6x+7
4x-6x=7=3
-2x=10
x= -5
b)
6x-x+(2x-3) = 3(2-x)
6x-x+2x-3=6-3x
7x+3x=6+3
10x=9
x=0,9
c)
x/3 - x/6 = 4 + x/2 / mnożymy obustronnie przez 6
2x -x = 24 +3x
x-3x=24
-2x=24
x = -12
d)
2x-13 = 14 (1-0,5x)
2x-13=14-7x
2x+7x=14+13
9x=27
x=3
e)
(x+3)/3 - (x-4)/2 = 0 / mnożymy obustronnie przez 6
2(x+3) -3(x-4) = 0
2x+6-3x+12 = 0
-x = -12-6
-x= -18
x = 18
