Find the intersection of the equations y = 2x and y = 3-x

In order to find the coordinates of the intersection point of the graphs of the functions given by the equations y = 2x and y = 3 – x, we need to solve the system of equations:

y = 2x;

y = 3 – x.

The solution to this system of equations will be the coordinates of the intersection points of the graphs of these functions.

We solve this system of equations.

Subtracting the second equation from the first, we get:

y – y = 2x – 3 + x:

0 = 3x – 3;

3x = 3;

x = 3/3;

x = 1.

Knowing x, we find y:

y = 2x = 2 * 1 = 2.

Answer: the coordinates of the intersection point of the graphs of these functions: (1; 2).