Question

4.Rozwiąż równania
a) 5+x = (24-1) - (19-2x)
b) 9x - 4x + (4+x) = 2(x - 1)
c) 3y + 5 = 4 (9 + 0,75y)
d) x/2 - x/4 = 7 - x/3

Answer 1

A) 5+x = 23-19+2x
x - 2x = 4-5
-x = -1
x = 1
b) 9x - 4x +4+x = 2x - 2
4x = -6
x = -1,5
c) 3y + 5 = 36 + 3y
0y = 31 --> równanie sprzeczne
d) x/2 - x/4 = 7 - x/3 |*12
6x - 3x = 84 - 4x
7x = 84
x = 12

Answer 2

A) 5+x= (24-1)-(19-2x)
5+x= 23-19+2x
5+x= 4+2x |-5
x= -1+2x |-2x
-x= -1 |*(-1)
x= 1

b) 9x-4x+(4+x)= 2(x-1)
5x+4+x= 2x-2
6x+4= 2x-2 |-2x
4x+4= -2 |-4
4x= -6 |:4
x= -1,5

c) 3y + 5 = 4 (9 + 0,75y)
3y+5= 36+3y |-5
3y= 31+3y |-3y
0= 31

Answer 3

4.Rozwiąż równania
a) 5+x = (24-1) - (19-2x)
5+x=23-19+2x
x-2x=4-5
-x=-1
x=1

b) 9x - 4x + (4+x) = 2(x - 1)
5x+4+x=2x-2
6x-2x=-2-4
4x=-6 /:4
x=-1,5

c) 3y + 5 = 4 (9 + 0,75y)
3y+5=36+3y
3y-3y=36-5
0=31
równanie sprzeczne - nie ma rozw.

d) x/2 - x/4 = 7 - x/3 /*12
6x-3x=84-4x
3x+4x=84
7x=84 /:7
x=12