Răspuns:
a)
[tex]3x + 7 = x + 21 \\ \\ 3x - x = 21 - 7 \\ \\ 2x = 14 \\ \\ x = 7[/tex]
b)
[tex]0.5x + 3 = 0.25x + 4 \\ \\ 0.5x - 0.25x = 4 - 3 \\ \\ 0.25x = 1 \\ \\ x = \frac{1}{0.25} \\ \\ x = 4[/tex]
c)
[tex]2 \sqrt{3} + x \sqrt{3} = \sqrt{48} \\ \\ 2 \sqrt{3} + x \sqrt{3} = 4 \sqrt{3} \\ \\ x \sqrt{3} = 4 \sqrt{3} - 2 \sqrt{3} \\ \\ x \sqrt{3} = 2 \sqrt{3} \\ \\ x = 2[/tex]
d)
[tex](x - 2)(x + \sqrt{2} ) = 0 \\ \\ 1. \: \: x1 - 2 = 0 \\ \\ x1 = 2 \\ \\ 2. \: \: x2 + \sqrt{2} = 0 \\ \\ x2 = - \sqrt{2} [/tex]
e)
[tex] \frac{x}{2} - \frac{x}{3} = 6 \\ \\ \frac{3x}{6} - \frac{2x}{6} = 6 \\ \\ \frac{x}{6} = 6 \\ \\ x = 36[/tex]
f)
[tex] - 3(x + 1) = 2(x + 6) \\ \\ - 3x - 3 = 2x + 12 \\ \\ - 3x - 2x = 12 + 3 \\ \\ - 5x = 15 \\ \\ x = 15 \div ( - 5) \\ \\ x = - 3[/tex]
g)
[tex] \frac{x - 1}{2} + \frac{3}{4} = \frac{x - 5}{6} + \frac{1}{12} \\ \\ \frac{6(x - 1)}{12} + \frac{9}{12} = \frac{2(x - 5)}{12} + \frac{1}{12} \\ \\ 6x - 6 + 9 = 2x - 10 + 1 \\ \\ 6x + 3 = 2x - 9 \\ \\ 6x - 2x = - 9 - 3 \\ \\ 4x = - 12 \\ \\ x = ( - 12) \div 4 \\ \\ x = - 3[/tex]
Succes! ♡︎♥︎♡︎
