Question

Решите систему уравнений :

Answer 1

Решение подробное смотреть во вложении.

Answer 2

Solving the System of Equations

To solve the given system of equations, we will use the information provided in the search results. Let's analyze each equation and find the values of the variables.

Equation 1: 2x - y = 7Equation 2: x^2 - xy = 12 To solve this system, we can use substitution or elimination method. Let's use the substitution method.

From Equation 1, we can express y in terms of x: y = 2x - 7

Substituting this value of y into Equation 2, we get: x^2 - x(2x - 7) = 12 Simplifying the equation: x^2 - 2x^2 + 7x = 12 -x^2 + 7x = 12 x^2 - 7x + 12 = 0

Now, we can solve this quadratic equation to find the values of x. Factoring the equation, we have: (x - 3)(x - 4) = 0

This gives us two possible solutions for x: 1. x - 3 = 0, which gives x = 3 2. x - 4 = 0, which gives x = 4

Now, let's substitute these values of x back into Equation 1 to find the corresponding values of y.

For x = 3: 2(3) - y = 7 6 - y = 7 y = -1

For x = 4: 2(4) - y = 7 8 - y = 7 y = 1

Therefore, the solutions to the system of equations are: x = 3, y = -1 x = 4, y = 1

Please let me know if there's anything else I can help you with!