Question

В какой координатной четверти находится точка пересечения прямых −2=6x−5y и −4=6x−2y? Пошаговое объяснение , Пожалуйста

Answer 1

Чтобы найти точку пересечения двух прямых, надо решить систему уравнения. Решение этой системы и будет точка пересечения прямых.
Решение - в файле

Answer 2

Finding the Intersection Point

To determine the quadrant in which the intersection point of the lines -2=6x-5y and -4=6x-2y lies, we need to find the coordinates of the intersection point.

Let's solve the system of equations formed by the two lines:

-2 = 6x - 5y (Equation 1) -4 = 6x - 2y (Equation 2)

To solve this system, we can use the method of substitution or elimination. Let's use the method of substitution:

From Equation 1, we can isolate x: 6x = 5y - 2 x = (5y - 2) / 6 (Equation 3)

Substituting Equation 3 into Equation 2: -4 = 6((5y - 2) / 6) - 2y

Simplifying the equation: -4 = 5y - 2 - 2y -4 = 3y - 2

Solving for y: 3y = -4 + 2 3y = -2 y = -2/3

Substituting the value of y back into Equation 3 to find x: x = (5(-2/3) - 2) / 6 x = (-10/3 - 2) / 6 x = (-10/3 - 6/3) / 6 x = -16/3 / 6 x = -16/18 x = -8/9

Therefore, the coordinates of the intersection point are (-8/9, -2/3).

Determining the Quadrant

To determine the quadrant in which the intersection point lies, we can analyze the signs of the x and y coordinates.

- The x-coordinate, -8/9, is negative. - The y-coordinate, -2/3, is also negative.

In the Cartesian coordinate system, the signs of the coordinates determine the quadrant as follows:

- Quadrant I: (+, +) - Quadrant II: (-, +) - Quadrant III: (-, -) - Quadrant IV: (+, -)

Since both the x and y coordinates are negative, the intersection point lies in Quadrant III.

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