Find the coordinates of the intersection of the function graphs: y = 47x – 37 and y = -13x + 23.

In order to find the coordinates of the intersection point of the graphs of the functions, let’s equate their values:
47x – 37 = -13x + 23;
47x + 13x = 23 + 37;
60x = 60;
x = 1;
Substitute the x value into one of the functions and find y:
y = 47x – 37 = 47 1 – 37 = 10
The intersection point of the graphs will be (1; 10).
Verification: substitute the coordinates of the intersection point in the second function: 10 = -13 · 1 +23; got the identity
Answer: (1; 10).