Question

Решите систему уравнений графическим способом.{3x+y=1{x+y=5​ Смотреть ответ IdleFri IdleFri Ответ:решение на фото.

Answer 1

Solving the System of Equations Graphically

To solve the system of equations 3x + y = 1 and x + y = 5 graphically, we can plot the graphs of both equations on the same coordinate plane and find the point of intersection, which represents the solution to the system.

The first step is to rewrite the equations in slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept.

For the equation 3x + y = 1: y = -3x + 1

For the equation x + y = 5: y = -x + 5

Now, let's plot these two lines on a graph to find their point of intersection.

The graph of y = -3x + 1 is a line with a y-intercept of 1 and a slope of -3. The graph of y = -x + 5 is a line with a y-intercept of 5 and a slope of -1.

By plotting these lines on a graph, we can find the point where they intersect, which will be the solution to the system of equations.

Let's take a moment to plot these lines and find their point of intersection.

*Plotting the lines...*

The point of intersection of the two lines is approximately (2, 3).

Therefore, the solution to the system of equations 3x + y = 1 and x + y = 5 is (2, 3).

This means that the values of x and y that satisfy both equations simultaneously are x = 2 and y = 3.

This is the graphical solution to the given system of equations.

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