Odpowiedź:
1.
2(x+1) = 5
2x + 2 = 5
2x = 5 - 2
2x = 3
x= 3 : 2
x= 1,5
spr.
2(x+1) = 5
L = 2(x+1) = 2(1,5 + 1) = 2 * 2,5 = 5
P = 5
5 = 5
L = P
2.
3(x-2) - 7 = 8
3x - 6 - 7 = 8
3x - 13 = 8
3x = 8 + 13
3x = 21
x = 21 : 3
x = 7
spr.
3(x-2) - 7 = 8
L = 3(x-2) - 7 = 3(7 - 2) - 7 = 3 *5 - 7 = 15 - 7 = 8
P = 8
8=8
L = P
3.
2x - (3x+1) = 6
2x - 3x - 1 = 6
-x = 6 + 1
- x = 7 /*(-1)
x = - 7
spr.
2x - (3x+1) = 6
L= 2x - (3x + 1) = 2* (-7) - (3*(-7) + 1) = - 14 - (-21 + 1) = - 14 -(-20) = - 14 + 20 = 6
P= 6
6=6
L=P
4.
2 - (5+x) = 2(3-x)
2 - 5 - x = 6 - 2x
- 3 - x = 6 - 2x
- x + 2x = 6 + 3
x= 9
spr.
2 - (5+x) = 2(3-x)
L= 2 - (5+x) = 2 - (5 + 9) = 2 - 14 = - 12
P= 2(3 -x) = 2(3 - 9) = 2 * (-6) = - 12
- 12 = - 12
L = P
5.
5(x+1) - 2(2x+3) + 4x = -x
5x + 5 - 4x - 6 + 4x = - x
5x - 4x + 4x + 5 - 6 = - x
5x - 1= - x
5x + x = 1
6x= 1
x= 1: 6
x= 1/6
spr.
5(x+1) - 2(2x+3) + 4x = -x
L= 5(x+1) - 2(2x+3) + 4x = 5(1/6 + 1) - 2(2*1/6 + 3) + 4* 1/6=
= 5*1 i 1/6 - 2(2/6 + 3) + 4/6 = 5* 7/6 - 2* 3 i 2/6 + 4/6=
= 35/6 - 2*20/6 + 4/6 = 35/6 - 40/6 + 4/6= - 5/6 + 4/6 = - 1/6
P = - x = - 1/6
- 1/6 = - 1/6
L = P
Szczegółowe wyjaśnienie:
