Question

Решите систему уравнений 3х-у=4 2ч+3у=10 (один пример)

Answer 1

Методом сложения.
умножаем первое уравнение на 3
получается
9х-3у=12
2x+3y=10
складываем,получается
11х=22 (-3у и 3у сократились)
х=2
подставляем значение х в любое уравнение,
(допустим,в первое)
6-у=4
-у=4-6
у=2
получается точка с координатой (2;2)

Answer 2

Solving the System of Equations

To solve the system of equations 3x - y = 4 and 2x + 3y = 10, we can use various methods such as substitution, elimination, or matrix methods. Let's use the substitution method to find the solution.

1. Start with the first equation: 3x - y = 4. 2. Solve this equation for one variable in terms of the other. Let's solve for y: - Add y to both sides: 3x = y + 4. - Rearrange the equation: y = 3x - 4.

Now, substitute this expression for y in the second equation:

2x + 3(3x - 4) = 10

Simplify and solve for x:

2x + 9x - 12 = 10

11x - 12 = 10

11x = 22

x = 2

Now that we have the value of x, we can substitute it back into the first equation to find the value of y:

3(2) - y = 4

6 - y = 4

-y = 4 - 6

-y = -2

y = 2

Therefore, the solution to the system of equations 3x - y = 4 and 2x + 3y = 10 is x = 2 and y = 2.