Question

9/20 x = ( 70-x) 0,6.​

Answer 1

Ответ:

$(70 - x)0.6 = \frac{9}{20} x \\ 70 \times 0.6 - 0.6x = 0.45x \\ 42 - 0.6x - 0.45x = 0 \\ 42 - 1.05x = 0 \\ 1.05x = 42 - 0 \\ 1.05x = 42$

$x = 42 \div 1.05 \\ x = 40$

Answer 2

To solve the equation, let's simplify it step by step:

9/20 x = (70 - x) 0.6

First, distribute the 0.6 to the terms inside the parentheses:

9/20 x = 42 - 0.6x

Next, eliminate the fraction by multiplying both sides of the equation by 20:

20 * (9/20) x = 20 * (42 - 0.6x)

This simplifies to:

9x = 840 - 12x

Now, let's isolate the x terms on one side of the equation. Add 12x to both sides:

9x + 12x = 840

Combining like terms:

21x = 840

Finally, solve for x by dividing both sides of the equation by 21:

x = 840 / 21

Simplifying:

x = 40

Therefore, the solution to the equation 9/20 x = (70 - x) 0.6 is x = 40.