Find the coordinates of the intersection point of the graphs of the functions y = 47x-37 and y = -13x + 23.

To find the point of intersection of the lines y = 47x – 37 and y = -13x + 23, we will solve a system of these equations.

System of equations:

y = 47x – 37;

y = -13x + 23.

To solve the system, we use the substitution method. Substitute -13x + 23 for the variable y in the first equation.

System of equations:

-13x + 23 = 47x – 37;

y = -13x + 23.

Let’s solve the first equation of the system and get:

-13x – 47x = -37 – 23;

x (-13 – 47) = -60;

-60x = -60;

x = -60: (-60);

x = 1.

System of equations:

x = 1;

y = -13x + 23 = -13 * 1 + 23 = -13 + 23 = 10.