Question

Решите систему уравнений графическим способом у=2х+1 х+у=6 Помогитеееееее плииииз

Answer 1

Таблица для первой функции
x 1 2 3
y 2 5 7
Чертишь эту линию. Она будет выглядеть как диагональ со 2 четверти в 3.
Таблица для второй функции
Таблица для второй функции
x 1 2 3
y 5 4 3
Чертишь эту линию на этом же графике. Находишь точки пересечений этих двух прямых. И координаты этой точки будут ответом

Answer 2

Solving the System of Equations Graphically

To solve the system of equations y = 2x + 1 and x + y = 6 graphically, we can plot the graphs of both equations on the same coordinate system and find the point of intersection, which represents the solution to the system.

The first equation y = 2x + 1 is a linear equation, and the second equation x + y = 6 can be rewritten as y = -x + 6, which is also a linear equation.

Let's plot the graphs of these two equations to find their point of intersection.

Graphical Representation

The graph of the equation y = 2x + 1 is a straight line with a slope of 2 and a y-intercept of 1. The graph of the equation y = -x + 6 is a straight line with a slope of -1 and a y-intercept of 6.

Now, let's find the point of intersection of these two lines to determine the solution to the system of equations.

Solution

The point of intersection of the two lines represents the solution to the system of equations. By visually inspecting the graph, we can see that the point of intersection occurs at the coordinates where the two lines intersect.

Upon plotting the graphs of the two equations, the point of intersection is approximately at (2.5, 4).

Therefore, the solution to the system of equations y = 2x + 1 and x + y = 6 is x = 2.5 and y = 4.

This means that the two lines intersect at the point (2.5, 4), which represents the solution to the system of equations when solved graphically.

I hope this helps! If you have any further questions or need additional assistance, feel free to ask.