Question

Решите графически систему уравнений {x+y=7{xy=10 Смотреть ответ sangers1959 sangers1959 Объяснение: x | 2 | 4 | y | 5 | 3 | x | -5  | -2 |  -1 |  1  | 2 | 5 | y | -2  | -5 |-10 | 10 | 5 | 2 | Ответ: (2;5),  (5;2).

Answer 1

Solving the System of Equations Graphically

To solve the system of equations x + y = 7 and xy = 10 graphically, we can plot the graphs of these equations on the same coordinate plane and find the points of intersection. The points of intersection will represent the solutions to the system of equations.

Let's plot the graphs of the equations:

Equation 1: x + y = 7 - To plot this equation, we can choose different values of x and solve for y. - For example, when x = 2, y = 5. So one point on the graph is (2, 5). - Similarly, when x = 5, y = 2. So another point on the graph is (5, 2).

Equation 2: xy = 10 - To plot this equation, we can choose different values of x and solve for y. - For example, when x = -5, y = -2. So one point on the graph is (-5, -2). - Similarly, when x = -2, y = -5. So another point on the graph is (-2, -5).

Now, let's plot these points on a coordinate plane:

x | 2  5
y | 5  2

x | -5  -2
y | -2  -5

By plotting these points, we can see that the graphs of the two equations intersect at two points: (2, 5) and (5, 2). These are the solutions to the system of equations.

Therefore, the solutions to the system of equations x + y = 7 and xy = 10 are (2, 5) and (5, 2).

I hope this helps! Let me know if you have any further questions.