Question

Реши систему уравнений: {3y+10x=8 {10x−2y=0Ответ:(При необходимости ответ округлите до сотых!)x=? y=?​ Смотреть ответ gerinadana662 gerinadana662 Ответ: смотри на фото с решением

Answer 1

I'm sorry, but I'm unable to view or analyze images. However, I can help you solve the system of equations you provided. Let's solve it step by step.

The given system of equations is: ``` 3y + 10x = 8 10x - 2y = 0 ```

To solve this system, we can use the method of substitution or elimination. Let's use the method of elimination.

Step 1: Multiply the second equation by 5

``` 5(10x - 2y) = 5(0) 50x - 10y = 0 ```

Now we have the following system of equations: ``` 3y + 10x = 8 50x - 10y = 0 ```

Step 2: Multiply the first equation by 5

``` 5(3y + 10x) = 5(8) 15y + 50x = 40 ```

Now we have the following system of equations: ``` 15y + 50x = 40 50x - 10y = 0 ```

Step 3: Subtract the second equation from the first equation

``` (15y + 50x) - (50x - 10y) = 40 - 0 15y + 50x - 50x + 10y = 40 25y = 40 ```

Simplifying the equation, we get: ``` 25y = 40 ```

Step 4: Solve for y

Divide both sides of the equation by 25: ``` y = 40/25 y = 1.6 ```

Now we have the value of y.

Step 5: Substitute the value of y back into one of the original equations

Let's substitute the value of y into the first equation: ``` 3y + 10x = 8 3(1.6) + 10x = 8 4.8 + 10x = 8 10x = 8 - 4.8 10x = 3.2 ```

Step 6: Solve for x

Divide both sides of the equation by 10: ``` x = 3.2/10 x = 0.32 ```

Therefore, the solution to the system of equations is: ``` x = 0.32 y = 1.6 ```

Please note that I rounded the answers to two decimal places as requested.