Question

Rezolvați în mulțimea numerelor reale ecuatiile:
A) 3x - 7=x+1:
B) 5x-6=x-5:
C)4x-9=6-2:
D) 2x-3=x+9
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Answer 1

Răspuns:

Explicație pas cu pas:

a) 3x-7 = x+1; 3x-x = 1+7; 2x = 8; x = 8:2; x = 4.

b) 5x-6 = x-5; 5x-x = -5+6; 4x = 1; x = 1/4.

c) 4x-9 = 6-2; 4x-9 = 4; 4x = 4+9; 4x = 13; x = 13/4.

d) 2x-3 = x+9; 2x-x = 3+9; x = 12.

Answer 2

Răspuns:

$3x - 7 = x + 1 \\ 3x - x = 1 + 7 \\ 2x = 8 \\\bf\red{\underline{x = 4}} \\ \\ 5x - 6 = x - 5 \\ 5x - x = - 5 + 6 \\ 4x = 1 \\ x = \frac{1}{4} = > \bf\red{\underline{x = 0.25}} \\ \\ 4x - 9 = 6 - 2 \\ 4x - 9 = 4 \\ 4x = 9 + 4 \\ 4x = 13 \\ x = \frac{13}{4} = > \bf\red{\underline{x = 3.25}}\\ \\ 2x - 3 = x + 9 \\ 2x - x = 9 + 3 \\ x = 9 + 3 \\ \bf\red{\underline{x = 12}}$