Odpowiedź:
a)
2*x - 3 + x = 8
2x + x = 8 + 3
3x= 11
x = 11 : 3
x = 11/3
x= 3 i 2/3
spr.
2*x - 3 + x = 8
L= 2x - 3 + 8 =2* 3 i 2/3 - 3 + 3 i 2/3 = 2*11/3 - 3 + 3 i 2/3=22/3 -3 + 3 i 2/3 =
= 7 i 1/3 - 3 + 3 i 2/3 = 4 i 1/3 + 3 i 2/3 = 7 i 3/3 = 8
P= 8
8=8
L=P
b)
3x - 2x + 7 = 1
x = 1 - 7
x = - 6
spr.
3x - 2x + 7 = 1
L = 3x - 2x + 7 = 3*(-6) -2(-6) + 7 = - 18 + 12 + 7 = - 6 + 7 = 1
P= 1
1=1
L=P
c)
7x - 9x = 2
-2x= 2
x= 2 : (-2)
x= - 1
spr.
7x - 9x = 2
L= 7x - 9x = 7*(-1) - 9(-1) = - 7 + 9 = 2
P= 2
2=2
L=P
d)
2x + 5 - 3x = 0
2x - 3x = 0 - 5
-x = - 5 /*(-1)
x= 5
spr.
2x + 5 - 3x = 0
L= 2x + 5 - 3x= 2*5+ 5 - 3*5 = 10 + 5 - 15 = 15 - 15 = 0
P = 0
0=0
L=P
e)
6x - 8x + 1 = 2
6x - 8x = 2 - 1
- 2x = 1
x= 1 : (-2)
x= - 0,5
spr.
6x - 8x + 1 = 2
L= 6x - 8x + 1= 6 * (-0,5) - 8(-0,5) + 1= - 3 + 4 + 1= 1 + 1= 2
P= 2
2=2
L=P
f)
42 + 5x - 2x = 12
5x - 2x = 12 - 42
3x= - 30
x= - 30 : 3
x= - 10
spr.
42 + 5x - 2x = 12
L= 42 + 5x - 2x= 42 + 5(-10) - 2(-10) = 42 - 50 + 20 = - 8 + 20 = 12
P= 12
12=12
L=P
g)
y - 2 + y= - 6
y + y= - 6 + 2
2y= - 4
y = - 4 : 2
y = - 2
spr.
y - 2 + y = - 6
L= y - 2 + y = -2 - 2 + (-2) = - 4 - 2= - 6
P= - 6
-6=-6
L=P
h)
1/2x +4 - x= - 1
1/2x - x = - 1 - 4
- 1/2x = - 5
x = - 5 : (-1/2)
x = - 5 * (-2/1)
x = 10/1
x = 10
spr.
1/2x +4 - x= - 1
L= 1/2x + 4 - x= 1/2 * 10 + 4 - 10 = 1/1 * 5 + 4 - 10 = 5/1 + 4 - 10 = 5 + 4 - 10 =
= 9 - 10 = - 1
P= - 1
-1=-1
L=P
Szczegółowe wyjaśnienie:
