Odpowiedź:
85x + 1 = x + 44
85x - x = 44 - 1
84x = 43
x = 43 : 84
x = 43/84
spr.
85x + 1 = x + 44
L = 85x + 1 = 85 * 43/84 + 1 = 3655/84 + 1 = 43 i 43/84 + 1 = 44 i 43/84
P = x + 44 = 43/84 + 44= 44 i 43/84
44 i 43/84 = 44 i 43/84
L=P
3 i 1/2x = 1085
x = 1085 : 3 i 1/2
x = 1085 : 7/2
x = 1085 * 2/7
x = 155 * 2/1
x = 310/1
x = 310
spr.
3 i 1/2x = 1085
L= 3 i 1/2x = 3 i 1/2 * 310 = 7/2 * 310 = 7/1 * 155 = 1085
P= 1085
1085 = 1085
L=P
x + 1 = x + 44
x - x = 44 - 1
0 ≠ 43
Równanie sprzeczne, nie ma rozwiązania
6y - 6,4 = - 25,6
6y = - 25,6 + 6,4
6y = - 19,2
y = - 19,2 : 6
y = - 3,2
spr.
6y - 6,4 = - 25,6
L = 6y - 6,4 = 6*(-3,2) - 6,4 = - 19,2 - 6,4 = - 25,6
P = - 25,6
- 25,6 = - 25,6
L = P
1/2x + 2( x + 5 ) - 1 = 80 - 0,75x
1/2x + 2x + 10 - 1 = 80 - 75/100x
2 i 1/2x + 9 = 80 - 3/4x
2 i 1/2 x + 3/4x = 80 - 9
2 i 2/4x + 3/4x= 71
2 i 5/4x = 71
3 i 1/4x = 71
x = 71 : 3 i 1/4
x = 71 : 13/4
x = 71 * 4/13
x = 284/13
x = 21 i 11/13
spr.
1/2x + 2( x + 5 ) - 1 = 80 - 0,75x
L = 1/2x + 2(x + 5) - 1 = 1/2 *21 i 11/13 + 2(21 i 11/13 + 5) - 1 =
= 1/2 * 284/13 + 2*26 i 11/13 - 1 = 1/1 * 142/13 + 2* 349/13 - 1=
= 142/13 + 698/13 - 1 = 840/13 - 1 = 64 i 8/13 - 1 = 63 i 8/13
P = 80 - 0,75x = 80 - 3/4x = 80 - 3/4* 21 i 11/13= 80 - 3/4 * 284/13 =
= 80 - 3/1 * 71/13 = 80 - 213/13 = 80 - 16 i 5/13= 63 i 8/13
63 i 8/13 = 63 i 8/13
L=P
1/4 x + 5 - x = 8
1/4x - x = 8 - 5
- 3/4x= 3
x= 3 : (-3/4)
x= 3 * (-4/3)
x= 1 * (-4/1)
x= - 4/1
x= - 4
spr.
1/4 x + 5 - x = 8
L= 1/4x + 5 - x = 1/4 * (-4) + 5 - (-4) = 1/1 * (-1) + 5 + 4= - 1 + 9 = 8
P = 8
8=8
L=P
Szczegółowe wyjaśnienie:
