Question

0,2(x + 0,9) = 0,1x + 1

Answer 1

$0,2(\frac{1}{3}x+0,9)=0,1x+1\frac{1}{3}\\\\\frac{2}{30}x+0,18=\frac{1}{10}x+\frac{4}{3}\\\\\frac{2}{30}x-\frac{1}{10}x=\frac{4}{3}-\frac{9}{50}\\\\-\frac{1}{30}x=\frac{200-27}{150}\\\\-\frac{1}{30}x=\frac{173}{150}\\\\x=-\frac{173*30}{150} =-\frac{173}{5} =-34,6\\\\Otvet:\boxed{-34,6}$

Answer 2

To solve the equation 0.2(x + 0.9) = 0.1x + 1, we can start by simplifying the equation step by step.

Let's begin:

0.2(x + 0.9) = 0.1x + 1

Start by distributing 0.2 to the terms inside the parentheses:

0.2x + 0.2(0.9) = 0.1x + 1

Multiply 0.2 by 0.9:

0.2x + 0.18 = 0.1x + 1

Now, let's isolate the terms with x on one side of the equation:

0.2x - 0.1x = 1 - 0.18

Simplify:

0.1x = 0.82

Divide both sides of the equation by 0.1 to solve for x:

(0.1x)/0.1 = 0.82/0.1

x = 8.2

Therefore, the solution to the equation is x = 8.2.