Question

Y+3x=2 5x+4y=-6 Помогите​

Answer 1

составим систему уравнений:

{ y + 3x = 2

{ 5x + 4y = -6

Конкретно эта система решается методом выражения одной переменной через другую:

{ y = 2 - 3x

{ 5x + 4y = -6

Теперь поставим во второе уравнение вместо у, выражение, которое получилось в первом:

5x + 4(2 - 3x) = -6

5x + 8 - 12x = -6

-7x = -14

7x = 14

x = 2

Теперь решим первое уравние, использовав полученное значение х:

y = 2 - 3*2 = 2 - 6 = -4

Ответ: x = 2; y = -4

Answer 2

Solving the System of Equations

To solve the system of equations Y + 3x = 2 and 5x + 4y = -6, we can use various methods such as substitution, elimination, or matrix methods. Let's solve it using the substitution method.

1. Solve the first equation for Y: Y = 2 - 3x

2. Substitute the value of Y in the second equation: 5x + 4(2 - 3x) = -6

3. Simplify and solve for x: 5x + 8 - 12x = -6 -7x + 8 = -6 -7x = -14 x = 2

4. Substitute the value of x back into the first equation to find Y: Y = 2 - 3(2) Y = 2 - 6 Y = -4

Therefore, the solution to the system of equations is x = 2 and Y = -4.

Solution:

The solution to the system of equations Y + 3x = 2 and 5x + 4y = -6 is x = 2 and Y = -4.

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