Question

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

Answer 1

y = 3x+1

If (4,1) is a solution of y = 3x+1, that means if we plugin the respective values of (4,1), we should have an EQUALITY:
1 = 3(4) + 1
1 = 13 , which is wrong, then the point (4,1) is NOT a solution of y = 3x+1

Answer 2

In the equation, x=4 and y=1. Plug it into the equation and you get 1=3(4)+1.
3x4 is 12 and 12+1 is 13 not 1.