Question

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Answer 1

K) k - (3 - k) = 1

k - 3 + k = 1
2.k = 1 + 3
2.k = 4
k  = 4/2
k = 2

L) 2.x/3 + x/5 = 26

MMC(3, 5) = 15

10.x/15 + 3.x/15 = 26
13.x/15 = 26
13.x = 26.15 
13.x = 390
x = 390/13
x = 30

M) y - y/4 = 3/2

4.y/4 - y/4 = 3/2
3.y/4 = 3/2
2.3.y = 4.3/2
6.y = 12/2
6.y = 6
y = 6/6
y = 1

N) a/6 + 2.a/9 = a - 11/6

a/6 + 2.a/9 - a = -11/6

MMC(6, 9) = 18

3.a/18 + 4.a/18 - 18.a/18 = -11/6
-11.a/18 = -11/6 (multiplicar por -1)
11.a/18 = 11/6
6.11.a = 18.11
66.a = 198
a = 198 / 66
a = 3

O) (t + 2) / 2 - (2.t - 3) / 3 = (3.t + 1) / 4

MMC(2, 3, 4) =12

6.(t + 2) - 4.(2.t - 3) = 3.(3.t + 1)
6.t + 12 - 8.t + 12 = 9.t + 3
-2.t -  9.t + 24 = 3
-11.t = 3 - 24
-11.t = -21
t = 21/11

P) x/2 + (x - 1)/3 = 3

MMC(2, 3) = 6

3.x + 2.(x - 1) = 18
3.x + 2.x - 2 = 18
5.x = 18 + 2
5.x = 20
x = 20 / 5
x = 4

Q) (3.y - 1)/2 + (y + 4)/7 = (y - 3)/2 - (3 - 4.y)/7

MMC(2, 7) = 14

7.(3.y - 1) + 2.(y + 4) = 7.(y - 3) - 2.(3 - 4.y)
21.y - 7 + 2.y + 8 = 7.y - 21 - 6 + 8.y
23.y  + 1 = 15.y - 27
23.y - 15.y = -27 - 1
8.y = -28
y = -28/8
y = -7/2