Question

Срочно ))) 14 баллов . Решить систему уравнений методом алгебраического сложения 2x-3y=4 3x+3y=11. Заранее Большое спасибо!

Answer 1

Y=(11-3x)/3
2x-3y+3x+3y=4+11
5x=15
x=3
y=(11-9)/3=2/3

Answer 2

3у=11-3х
2х-11+3х=4
5х=15
Х=15:5=3
3у=11-3*3
3у=2
У=2:3=2/3

Answer 3

Solving the System of Equations using Algebraic Addition

To solve the system of equations using the method of algebraic addition, we can add the two equations together to eliminate one of the variables.

The given system of equations is: 1. 2x - 3y = 4 2. 3x + 3y = 11

Step 1: Add the Equations

To eliminate the variable "y," we can add the two equations together. When we add the equations, the "y" terms will cancel out.

Adding the equations: ``` (2x - 3y) + (3x + 3y) = 4 + 11 5x = 15 ```

Step 2: Solve for x

Now, we can solve for "x" by dividing both sides of the equation by 5: ``` x = 3 ```

Step 3: Substitute x into one of the Equations

We can substitute the value of "x" into one of the original equations to solve for "y." Let's use the first equation: ``` 2x - 3y = 4 2(3) - 3y = 4 6 - 3y = 4 -3y = 4 - 6 -3y = -2 y = 2/3 ```

Solution:

The solution to the system of equations is: - x = 3 - y = 2/3

So, the solution to the given system of equations using the method of algebraic addition is x = 3 and y = 2/3.