Question

Розв'язати рівняння а)7x+3=3(2x-1)+x б)1.8(1-2x)=7,8-(3,6x+6) в) x+1|4=6 г)2x+1|2+x|3=1​

Answer 1

Ответ:

$a) \: 7x + 3 = 3(2x - 1) + x \\ 7x + 3 = 6x - 3 + x \\ 7x - 6x - x = - 3 - 3 \\ 0 = - 6$

$a) \: 7x + 3 = 3(2x - 1) + x \\ 7x + 3 = 6x - 3 + x \\ 7x - 6x - x = - 3 - 3 \\ 0 = - 6$Утверждение ложное

$b) \: 1.8(1 - 2x) = 7.8 - (3.6x + 6) \\ 1.8 - 3.6x = 7.8 - 3.6x - 6 \\ 1.8 = 7.8 - 6 \\ 1.8 = 1.8$

$b) \: 1.8(1 - 2x) = 7.8 - (3.6x + 6) \\ 1.8 - 3.6x = 7.8 - 3.6x - 6 \\ 1.8 = 7.8 - 6 \\ 1.8 = 1.8$X є R

$c) \: x + \frac{1}{4} = 6 \\ x + 0.25 = 6 \\ x = 5.75$

$2x+ \frac{1}{2} + \frac{x}{3} =1 \\ 12x + 3 + 2x = 6 \\ 14x + 3 = 6 \\ 14x = 3 \\ x = \frac{3}{14}$