Odpowiedź :
Odpowiedź:
a)
5x-4 = 11 |+4
5x = 15 |:5
x = 3
b)
7x-5 = 16 |+5
7x = 21 |:7
x = 3
c)
2+3x = 12 |-2
3x = 10 |:3
x = 3
d)
-9x + 12 = 30 |-12
-9x = 18 |:(-9)
x = -2
e)
15-6x=45 |-15
-6x = 30 |:(-6)
x = -5
f)
1/3 x- 5 = 8 |+5
1/3 x= 13 |*3
x = 39
g)
1/3 x+ 10 = 24 |-10
1/3 x= 14 |*3
x = 42
h)
1/5 x- 5 = 8 |+5
1/5 x= 13 |*5
x = 65
i)
13 + 1/3 x = 27 |-13
1/3 x= 14 |*3
x = 42
j)
18 - 1/3 x= 24 |-18
-1/3 x = 6 |*(-3)
x = -18
Szczegółowe wyjaśnienie:
Liczę na naj
[tex]a) 5x-4= 11\\5x = 11 + 4\\5x = 15\\x = 3\\b) 7x-5= 16\\7x = 16 + 5\\7x = 21\\x = 3\\c) 2+3x= 11\\3x = 11 - 2\\3x = 9\\x = 3\\d) -9x+12= 30\\-9x = 30 - 12\\-9x = 18\\x = -2\\e) 15-6x= 45\\-6x = 45 - 15\\-6x = 30\\x = -5\\f) 1/3x-5= 8\\\frac{1}{3}x= 8+5\\\frac{1}{3}x = 13\\x = 39\\g) 1/3x+10= 24\\\frac{1}{3}x = 24 - 10\\\frac{1}{3}x = 14\\x=42 \\[/tex]
[tex]h) 1/5x-5= 8\\\frac{1}{5}x = 8 +5\\\frac{1}{5}x = 13\\x = 65\\i) 13+1/3x= 27\\ \frac{1}{3}x = 27-13\\\frac{1}{3}x = 14\\x = 42\\j) 18-1/3x = 21\\-\frac{1}{3}x = 21 - 18\\-\frac{1}{3}x = 3\\x = -9\\k) 0,2x + 0,3 = -0,5\\0,2x = -0,5 - 0,3\\0,2x = -0,8\\x = -4\\l)0,4+0,25x=-2\\0,25x = -2-0,4\\0,25x = -2,4\\x = -9,6\\m) 2,1-0,3x = 0,4x\\0,4x+0,3x = 2,1\\0,7x = 2,1\\x = 3\\[/tex]
[tex]n) -1,5x-3=0,2x+6\\-1,5x-0,2x= 6+3\\-1,7x = 9\\x = -\frac{9}{1,7} = -\frac{90}{10}*\frac{10}{17} = -\frac{90}{17} = -5\frac{5}{17}[/tex]