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

1. In order to find out the points of intersection of the graph, we need to know the coordinates of the point along the Y-axis and along the X-axis.

2. To do this, let’s compare the two parts of the functions.

47x – 37 = – 13x + 23

3. Let’s make the calculations. Move X to the left and the numeric values to the right.

47x + 13x = 23 + 37

4. Let’s make additions on the left and right sides.

60x = 60

5. Let’s reduce both values.

x = 1

6. Substitute our X value to find the Y value.

y = 47 * 1 – 37 = 47 – 37 = 10

Answer: Graphs intersect at a point with coordinates (1; 10)