To find when the two equations 65x + 20 = y and 730 + 35x = y will meet on the graph, we need to solve for the value of x that satisfies both equations.
We can begin by setting the right-hand sides of the two equations equal to each other:
65x + 20 = 730 + 35x
Subtracting 35x from both sides, we get:
30x + 20 = 730
Subtracting 20 from both sides, we get:
30x = 710
Dividing both sides by 30, we get:
x = 23.67
Now that we have found the value of x that satisfies both equations, we can substitute it into either equation to find the corresponding value of y. Let's use the first equation:
y = 65x + 20
y = 65(23.67) + 20
y = 1539.55
Therefore, the two equations will meet on the graph at the point (23.67, 1539.55).