Odpowiedź:
x/8 = x + 9x -9 /*8
x = 8x + 8*9x - 8*9
x= 8x + 72x - 72
x= 80x - 72
x - 80x = - 72
- 79x= - 72
x= - 72: (-79)
x= 72/79
spr.
x/8 = x + 9x -9
L= x/8 = 72/79 : 8 = 72/79 * 1/8 = 9/79 * 1/1 = 9/79
P= x + 9x - 9 = 72/79 + 9*72/79 - 9 = 72/79 + 648/79 - 9 = 720/79 - 9=
= 9 i 9/79 - 9 = 9/79
9/79 = 9/79
L=P
-6 (x-1) = 2(x+2)
-6x + 6 = 2x + 4
- 6x - 2x= 4 - 6
- 8x = - 2
x= - 2 : (-8)
x= 2/8
x= 1/4
spr.
-6 (x-1) = 2(x+2)
L= -6(x -1) = -6(1/4 -1) = - 6*(-3/4) = - 3* (- 3/2) = 9/2= 4 i 1/2
P= 2(x+2) = 2(1/4 + 2) = 2* 2 i 1/4 = 2* 9/4 = 1 * 9/2= 9/2= 4 i 1/2
4 i 1/2 = 4 i 1/2
L=P
5(x+3) = 1/9x -2
5x + 15 = 1/9x - 2
5x - 1/9x = - 2 - 15
4 i 8/9x = - 17
x = - 17 : 4 i 8/9
x= - 17 : 44/9
x= - 17 * 9/44
x= - 153/44
x = - 3 i 21/44
spr.
5(x+3) = 1/9x -2
L= 5(x + 3) = 5(-3 i 21/44 + 3) = 5* (-21/44) = - 105/44= - 2 i 17/44
P = 1/9x - 2= 1/9 * ( -3 i 21/44) - 2= 1/9*(-153/44) - 2= 1/1 * (-17/44) - 2 =
= - 17/44 - 2= - 2 i 17/44
- 2 i 17/44 = - 2 i 17/44
L=P
0,3x + 7(x-2) = 5,3x
0,3x + 7x - 14 = 5,3x
7,3x - 5,3x = 14
2x = 14
x= 14 : 2
x= 7
spr.
0,3x + 7(x-2) = 5,3x
L= 0,3x + 7(x - 2) = 0,3* 7 + 7(7 -2) = 2,1 + 7*5= 2,1 + 35= 37,1
P = 5,3x = 5,3 * 7 = 37,1
37,1 = 37,1
L=P
7x + 8 = 15
7x = 15 - 8
7x= 7
x= 7 : 7
x= 1
spr.
7x + 8 = 15
L= 7x + 8 = 7*1 + 8 = 7 + 8= 15
P= 15
15=15
L=P
6x -2 =16
6x = 16 + 2
6x= 18
x= 18 : 6
x= 3
spr.
6x - 2= 16
L= 6x - 2= 6*3 - 2= 18 - 2= 16
P= 16
16=16
L=P
Szczegółowe wyjaśnienie: