# Find the coordinates of the intersection point of the graphs of the function y = 10x-8 and y = -3x + 5.

May 28, 2021 | education

| To find the coordinates of the intersection point of the graphs of the functions y = 10x – 8 and y = -3x + 5, it is necessary to solve the system of equations:

y = 10x – 8;

y = -3x + 5.

The solutions of 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 = 10x – 8 – (-3x + 5);

0 = 10x – 8 + 3x – 5;

0 = 13x – 13;

13x = 13;

x = 13/13;

x = 1.

Knowing x, we find y:

y = 10x – 8 = 10 * 1 – 8 = 10 – 8 = 2.

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

One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.