Question

25(x-1)-20(4x-1)=4(1-16x),4(x-0,5)+2(x-0,25)+x-0,125=0

Answer 1

Ответ:

$25(x - 1) - 20(4x - 1) = 4(1 - 16x) \\ 25x - 25 - 80x + 20 = 4 - 64x \\ - 55x + 64x = 4 + 5 \\ 9x = 9 \\ x = 1$

$4(x - 0.5) + 2(x - 0.25) + x - 0.125 =0 \\ 4x - 2 + 2x - 0.5 + x - 0.125 = 0 \\ 7x - 2.625 = 0 \\ 7x = 2.625 \\ x = 0.375$

Answer 2

To solve these equations, let's start by simplifying them step by step.

Equation 1:

$25(x-1) - 20(4x-1) = 4(1-16x)$

First, distribute the numbers inside the parentheses:

$25x - 25 - 80x + 20 = 4 - 64x$

Combine like terms:

$-55x - 5 = -64x$

Add $64x$ to both sides:

$9x - 5 = 0$

Add 5 to both sides:

$9x = 5$

Divide by 9:

$x = \frac{5}{9}$

Equation 2:

$4(x-0.5) + 2(x-0.25) + x-0.125 = 0$

Distribute the numbers inside the parentheses:

$4x - 2 + 2x - 0.5 + x - 0.125 = 0$

Combine like terms:

$7x - 2.625 = 0$

Add $2.625$ to both sides:

$7x = 2.625$

Divide by 7:

$x \approx 0.375$

So, the solutions to the given equations are $x = \frac{5}{9}$ and $x \approx 0.375$.