Question

Решите уравнение 18*(х:18/35+5/9)=31

Answer 1

1)расскроем скобки 35х+10=31

35x=21

x=3/5=0,6

 

Answer 2

I can help you solve the equation. First, let me rewrite it in a more readable way:

$$18\left(\frac{x}{18/35}+\frac{5}{9}\right)=31$$

To solve for $x$, we need to isolate it on one side of the equation. We can do this by following these steps:

- Divide both sides by 18 to get rid of the coefficient of the parentheses.

$$\frac{x}{18/35}+\frac{5}{9}=\frac{31}{18}$$

- Subtract $\frac{5}{9}$ from both sides to eliminate the constant term.

$$\frac{x}{18/35}=\frac{31}{18}-\frac{5}{9}$$

- Simplify the right side by finding a common denominator and combining the fractions.

$$\frac{x}{18/35}=\frac{93-50}{162}=\frac{43}{162}$$

- Multiply both sides by $\frac{18}{35}$ to cancel out the fraction on the left side.

$$x=\frac{43}{162}\cdot\frac{18}{35}$$

- Simplify the right side by reducing the fractions.

$$x=\frac{43}{9}\cdot\frac{1}{5}=\frac{43}{45}$$

Therefore, the solution is $x=\frac{43}{45}$.

You can check your answer by plugging it back into the original equation and verifying that both sides are equal.

If you need more help with solving equations, you can use online tools such as [Microsoft Math Solver](https://mathsolver.microsoft.com/en/solver) or [MathPapa](https://www.mathpapa.com/equation-solver/). They can show you step-by-step solutions and explanations for different types of equations.