You can put this solution on YOUR website! If you're given the point (5,1), this means that and . So simply plug in and into . 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 (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 is always equal to itself). So if you get some number equal to itself, then you have an identity.
You can put this solution on YOUR website! 5,1 is a solution to the equation 2x-3y=7. What does this mean?
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It means that if you you replace x by 5 and replace y by 1
you get a true statement.
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Try it:
2*5 - 3*1 = 7
10-3 = 7
7 = 7
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Cheers,
stan H.
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