Question

У-(5,11+0,08у)=4,92у-0,89

Answer 1

Раскроем скобки:
у - 5,11 - 0,08у = 4,92у - 0,89
у - 0,08у - 4,92у = - 0,89 + 5,11
- 4у = 4,22
у = 4,22 : (-4)
у = - 1,055
---------------------------------------------
Проверка: - 1,055 - (5,11 + 0,08 * (-1,055) = 4,92 * (-1,055) - 0,89
                  - 1,055 - (5,11 - 0,0844) = - 5,1906 - 0,89
                  - 1,055 - 5,0256 = - 6,0806
                  - 6,0806 = - 6,0806

Answer 2

To solve the equation, let's first simplify and rearrange it step by step. The equation is:

У - (5,11 + 0,08У) = 4,92У - 0,89

Step 1: Distribute the negative sign inside the parentheses: У - 5,11 - 0,08У = 4,92У - 0,89

Step 2: Combine like terms on both sides of the equation. Gather all terms with 'У' on one side and constants on the other side: У - 0,08У - 4,92У = 0,89 + 5,11

Step 3: Simplify the equation further: (1 - 0,08 - 4,92)У = 5,11 + 0,89

Step 4: Calculate the values inside the parentheses: -4,00У = 5,11 + 0,89

Step 5: Combine the constants: -4,00У = 6,00

Step 6: Now, isolate 'У' by dividing both sides of the equation by -4.00: У = 6,00 / -4,00

Step 7: Finally, perform the division: У = -1.5

So, the solution to the equation is У = -1.5.