Question 207721
If you're given the point (5,1), this means that {{{x=5}}} and {{{y=1}}}. So simply plug in {{{x=5}}} and {{{y=1}}} into {{{2x-3y=7}}}. If you end up with an identity, then that will confirm that (5,1) is a solution. If (5,1) is a solution, then that means that the point (5,1) lies on the line {{{2x-3y=7}}} (that's only if it's a solution).



Note: an identity is an equation that is true for ALL values of 'x'. A simple example would be {{{0=0}}} (0 is always equal to itself). So if you get some number equal to itself, then you have an identity.