Explain why (4, 1) is not the solution to the equation= 3x+1.

Keep in mind that a coordinate is in the form (x, y), so if you plug those values into the equation y=3x+1, you get 1=3(4)+1, simplified to 1=13, which is an untrue statement. However, I'm assuming you mean that the value of y is 4 and x is 1, which would be written as (1, 4). This would be the solution to this equation because 4=3(1)+1 is 4=4 which is a true statement.