Question

3x+5y=10 3x-7y=4 Решите данную систему уравнений методом сложения!

Answer 1

12y=6 (методом сложения)
у=12÷6=0.5
х=( 10-2.5)=7.5÷3=2.5

Answer 2

Думаю так надо решать

Answer 3

Problem Statement

We are given the following system of equations: ``` 3x + 5y = 10 3x - 7y = 4 ``` We need to solve this system of equations using the method of addition.

Solution

To solve the system of equations using the method of addition, we'll add the two equations together in such a way that one of the variables cancels out.

Adding the two equations, we get: ``` (3x + 5y) + (3x - 7y) = 10 + 4 6x - 2y = 14 ```

Now, we have a new equation: ``` 6x - 2y = 14 ```

To isolate one of the variables, let's solve this equation for x: ``` 6x = 2y + 14 x = (2y + 14) / 6 ```

Now, let's substitute this value of x into one of the original equations to solve for y. Let's use the first equation: ``` 3x + 5y = 10 3((2y + 14) / 6) + 5y = 10 (2y + 14) + 5y = 20 7y + 14 = 20 7y = 6 y = 6 / 7 ```

Therefore, the solution to the system of equations is: ``` x = (2y + 14) / 6 y = 6 / 7 ```

Let's calculate the values of x and y: ``` x = (2(6 / 7) + 14) / 6 x = (12 / 7 + 14) / 6 x = (12 + 98) / 42 x = 110 / 42 x = 55 / 21

y = 6 / 7 ```

So, the solution to the system of equations is: ``` x = 55 / 21 y = 6 / 7 ```

Therefore, the solution to the given system of equations using the method of addition is x = 55/21 and y = 6/7.