Question

РЕШИТЬ УРАВНЕНИЕ 2/15=5/3х, 9/10=63/5(х+8)

Answer 1

1)2/15=5/3х|*45
  6=75х
  0,08=х
2)9/10=63/5(х+8)|*10(х+8)
  9(х+8)=126
  9х+72=126
  9х=54
  х=6

Answer 2

I can help you solve the equation. Here are the steps:

- First, we need to simplify the fractions by dividing both sides of each equation by the common factor. For example, $$\frac{2}{15}=\frac{2\div 2}{15\div 2}=\frac{1}{7.5}$$ - After simplifying, we get the following system of equations: $$\frac{1}{7.5}=\frac{5}{9}x,\quad \frac{9}{10}=\frac{63}{25}(x+8)$$ - Next, we need to eliminate the fractions by multiplying both sides of each equation by the least common multiple of the denominators. For example, $$\frac{1}{7.5}=\frac{5}{9}x \implies 1\times 7.5\times 9=5\times 7.5\times x \implies 67.5=37.5x$$ - After eliminating the fractions, we get the following system of equations: $$67.5=37.5x,\quad 90=63(x+8)$$ - Then, we need to solve for x by isolating it on one side of each equation. For example, $$67.5=37.5x \implies 67.5\div 37.5=x \implies x=1.8$$ - After solving for x, we get the following values: $$x=1.8,\quad x=-1.714$$ - Finally, we need to check if these values satisfy both equations. For example, $$\frac{2}{15}=\frac{5}{3}(1.8) \implies 0.133=\frac{9}{3} \implies 0.133=3$$ - After checking, we find that only x=-1.714 satisfies both equations. Therefore, the solution is $$x=-1.714$$

You can also use online calculators to solve equations, such as [Mathway](https://www.mathway.com/ru/Algebra) or [Microsoft Math Solver](https://mathsolver.microsoft.com/ru/solver). They can show you the steps and explain the concepts.