Question

Rezolvați in multimea numerelor naturale ecuatiile: a) 7x+9=4x+2 (x+11)-5
b) 11x-15=4 (2x+3)-3
c) 6x+13=3 (2x-5)+2x+18
d) 2 (5x-13)+35=3 (2x+1)+22
Va rog dau coroana pentru cel mai bun raspuns

Answer 1

a) 7x + 9 = 4x + 2(x + 11) - 5
7x + 9 = 4x + 2x + 22 - 5
7x + 9 = 6x + 17
7x - 6x = 17 - 9
x = 8

b) 11x - 15 = 4(2x + 3) - 3
11x - 15 = 8x + 12 - 3
11x - 15 = 8x + 9
11x - 8x = 9 + 15
3x = 24 => x = 8

c) 6x + 13 = 3(2x - 5) + 2x + 18
6x + 13 = 6x - 15 + 2x + 18
6x + 13 = 8x + 3
8x - 6x = 13 - 3
2x = 10 => x = 5

d) 2(5x - 13) + 35 = 3(2x + 1) + 22
10x - 26 + 35 = 6x + 3 + 22
10x + 9 = 6x + 25
10x - 6x = 25 - 9
4x = 16 => x = 4

Sper ca ti-am fost de folos!