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

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).

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