Find the point of intersection of the graphs given by the formulas y = 1.5x and 2y + 2x = 27, without plotting.

In order to find the coordinates of the intersection point of the graphs of the functions y = 1.5x and 2y + 2x = 27, it is necessary to solve the system of equations:

y = 1.5x;

2y + 2x = 27.

The solutions of this system of equations will be the coordinates of the intersection point of the graphs of these functions.

We solve this system of equations.

Substituting into the second equation the value y = 1.5x from the first equation, we get:

2 * 1.5x + 2x = 27;

3x + 2x = 27;

5x = 27;

x = 27/5;

x = 5.4.

Knowing x, we find y:

y = 1.5x = 1.5 * 5.4 = 8.1.

Answer: coordinates of the point of intersection of the graphs of these functions (5.4; 8.1).