Question

5/7×(0,21-1,4х)-4/9×(0,36-4,5х)=1 с подробным описанием пожалуйста заранее спасибо

Answer 1

5/7 * (0,21 - 1,4х) - 4/9 * (0,36 - 4,5х) = 1
(5*0,21)/7  - (5*1,4х)/7 - (4*0,36)/9 + (4*4,5х)/9 = 1      (-)*(-)=(+)
0,15 - х - 0,16 + 2х = 1
2х - х = 1 - 0,15 + 0,16
х = 1,01

Answer 2

Equation Solution

To solve the equation 5/7×(0.21-1.4x)-4/9×(0.36-4.5x)=1, we can follow these steps:

1. Distribute the terms: Distribute the terms inside the parentheses. 2. Combine like terms: Combine the like terms on both sides of the equation. 3. Isolate the variable: Isolate the variable term to solve for its value.

Let's solve the equation step by step.

Step 1: Distribute the Terms

The given equation is: 5/7×(0.21-1.4x)-4/9×(0.36-4.5x)=1

Distribute the terms inside the parentheses: (5/7)×0.21 - (5/7)×1.4x - (4/9)×0.36 + (4/9)×4.5x = 1

Step 2: Combine Like Terms

Combine the like terms on both sides of the equation: (5/7)×0.21 - (5/7)×1.4x - (4/9)×0.36 + (4/9)×4.5x = 1 0.107142857 - 0.714285714x - 0.16 + 2x = 1 0.947142857 - 0.714285714x + 2x = 1 0.947142857 + 1.285714286x = 1

Step 3: Isolate the Variable

Isolate the variable term to solve for its value: 1.285714286x = 1 - 0.947142857 1.285714286x = 0.052857143 x = 0.052857143 / 1.285714286 x ≈ 0.0411

So, the solution to the equation 5/7×(0.21-1.4x)-4/9×(0.36-4.5x)=1 is x ≈ 0.0411.

I hope this helps! If you have any further questions, feel free to ask.