Odpowiedź:
x+7=13
x = 13 - 7 = 6
spr.
L = 6 + 7 = 13
P = 13
L = P
6+x=-2
x = -2 - 6 = -8
spr.
L = 6 - 8 = -2
P = -2
L = P
x+1,3=2,7
x = 2,7 - 1,3 = 1,4
spr.
L = 1,4 + 1,3 = 2,7
P = 2,7
L = P
⅚+×=⅓
x = 1/3 - 5/6 = 2/6 - 5/6 = -3/6 = -1/2
spr.
L = 5/6 - 1/2 = 5/6 - 3/6 = 2/6 = 1/3
P = 1/3
L = P
x-2,7=-1,4
x = -1,4 + 2,7 = 1,3
spr.
L = 1,3 - 2,7 = -1,4
P = 1,4
L = P
2x+3=15
2x = 15 - 3 /:2
x = 12/2 = 6
spr.
L = 2 * 6 + 3 = 12 + 3 = 15
P = 15
L = P
5x+13=23
5x = 23 - 13 /:5
x = 10/5 = 2
spr.
L = 5 * 2 + 13 = 10 + 13 = 23
P = 23
3x-11=25
3x = 25 + 11 /:3
x = 36/3 = 12
spr.
L = 3 * 12 - 11 = 36 - 11 = 25
P = 25
2(x+3)=10
2x + 6 = 10
2x = 10 - 6 /:2
x = 4/2 = 2
spr.
L = 2(2 + 3) = 2 * 5 = 10
P = 10
3(x-1)+2=8
3x - 3 + 2 = 8
3x = 8 + 1 /:3
x = 9/3 = 3
spr.
L = 3(3 - 1) + 2 = 3 * 2 + 2 = 6 + 2 = 8
P = 8
L = P
2(13-x)-9=1
26 - 2x - 9 = 1
-2x = 1 - 17 /:(-2)
x = 16/2 = 8
spr.
L = 2(13 - 8) - 9 = 2 * 5 - 9 = 10 - 9 = 1
P = 1
L = P
2(3x-4)=10x
6x - 8 = 10x
6x - 10x = 8
-4x = 8 /:(-4)
x = -2
spr.
L = 2[3 * (-2) - 4] = 2 * (-6 - 4) = 2 * (-10) = -20
P = 10 * (-2) = -20
L = P
-4x=3(6-2x)
-4x = 18 - 6x
-4x + 6x = 18
2x = 18 /:2
x = 9
spr.
L = -4 * 9 = -36
P = 3(6 - 2 * 9) = 3 * (6 - 18) = 3 * (-12) = -36
L = P
4-3x=5(2+x)
4 - 3x = 10 + 5x
-3x - 5x = 10 - 4
-8x = 6 /:(-8)
x = -6/8 = -3/4
spr.
L = 4 - 3 * (-3/4) = 4 + 9/4 = 4 + 2 1/4 = 6 1/4
P = 5(2 - 3/4) = 5 * 1 1/4 = 5 * 5/4 = 25/4 = 6 1/4
L = P
½y+3=7
1/2y = 7 - 3 /*2
y = 4 * 2 = 8
spr.
L = 1/2 * 8 + 3 = 4 + 3 = 7
P = 7
L = P
1/7y-5/7=2
1/7y = 2 + 5/7 /*7
y = 2 5/7 * 7 = 19/7 * 7 = 19
spr.
L = 1/7 * 19 - 5/7 = 19/7 - 5/7 = 2 5/7 - 5/7 = 2
P = 2
L = P
¼y+¾=7/4
1/4y = 1 3/4 - 3/4 /*4
y = 1 * 4 = 4
7/9(y+2)=7/9
7/9y + 14/9 = 7/9
7/9y = 7/9 - 14/9 /*9/7
y = -7/9 * 9/7 = -1
spr.
L = 7/9(-1 + 2) = 7/9 * 1 = 7/9
P = 7/9
L = P
⅔(y-1)=⅔
2/3y - 2/3 = 2/3
2/3y = 2/3 + 2/3 /*3/2
y = 4/3 * 3/2 = 2
spr.
L = 2/3 * (2 - 1) = 2/3 * 1 = 2/3
P = 2/3
L = P
5/11(y-4)=5-11
5/11y - 20/11 = -6
5/11y = -6 + 1 9/11 /*11/5
y = -4 2/11 * 11/5 = -46/11 * 11/5 = -46/5 = -9 1/5
spr.
L = 5/11(-9 1/5 - 4) = 5/11 * (-13 1/5) = 5/11 * (-66/5) = -6
P = -6
L = P
Szczegółowe wyjaśnienie:
