Question

1. Rezolvați următoarele ecuații:
a) 3x– 8 = x +10 d) 8x- 7 = x+14 g) 4x – 12= 2x + 14
b) 4x– 5= x + 7 e) 6x+ 9= 8x–11 h) 7x + 16 = 3x – 12
c) 6x –12 = 3x + 15 f) 9x + 8= 7x – 4 i) 15 x – 25 = 5x + 15.

Answer 1

Răspuns:

Bună, sper ca te am ajutat!!

Answer 2

Explicație pas cu pas:

a)

$3x - 8 = x + 10 \iff 3x - x = 10 + 8 \\ 2x = 18 \iff x = 18 : 2 \\ \implies \bf x = 9$

b)

$4x - 5= x + 7 \iff 4x - x = 7 + 5 \\ 3x = 12 \iff \: x = 12 : 3 \\ \implies \bf x = 4$

c)

$6x - 12 = 3x + 15 \iff 6x - 3x = 15 + 12 \\ 3x = 27 \iff x = 27 : 3 \\ \implies \bf x = 9$

d)

$8x - 7 = x + 14 \iff 8x - x = 14 + 7 \\ 7x = 21 \iff x = 21 : 7 \\ \implies \bf x = 3$

e)

$6x + 9 = 8x - 11 \iff 6x - 8x = - 11 - 9 \\ - 2x = - 20 \iff x = - 20 : ( - 2) \\ \implies \bf x = 10$

f)

$9x + 8 = 7x - 4 \iff 9x - 7x = - 4 - 8 \\ 2x = - 12 \iff x = - 12 : 2 \\ \implies \bf x = - 6$

g)

$4x - 12 = 2x + 14 \iff 4x - 2x = 14 + 12 \\ 2x = 26 \iff x = 26 : 2 \\ \implies \bf x = 13$

h)

$7x + 16 = 3x - 12 \iff 7x - 3x = - 12 - 16 \\ 4x = - 28 \iff x = - 28 : 4 \\ \implies \bf x = - 7$

i)

$15x - 25 = 5x + 15 \iff 15x - 5x = 15 + 25 \\ 10x = 40 \iff x = 40 : 10 \\ \implies \bf x = 4$