SOLUTION: 5,1 is a solution to the equation 2x-3y=7. What does this mean?

Question 207721: 5,1 is a solution to the equation 2x-3y=7. What does this mean?
Found 2 solutions by jim_thompson5910, stanbon:
Answer by jim_thompson5910(35256) (Show Source): 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.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
5,1 is a solution to the equation 2x-3y=7. What does this mean?
-------------------------
It means that if you you replace x by 5 and replace y by 1
you get a true statement.
----
Try it:
2*5 - 3*1 = 7
10-3 = 7
7 = 7
===============
Cheers,
stan H.
RELATED QUESTIONS
(5, 1) is a solution to the equation 2x - 3y = 7. What does this mean? (answered by Theo)
(5, 1) is a solution to the equation 2x-3y=7. What does this mean? (answered by mananth)
(5, l)is a solution to the equation 2x-3y=7. What does this... (answered by stanbon)
(5,1) is a solution to the equation 2x-3y=7 what does this... (answered by Alan3354)
(5,1)is a solution to the equation 2x - 3y = 7. What does this... (answered by solver91311,mathsmiles)
(5,1) is a solution to the equation 2x-3y=7. What does this... (answered by fcabanski)
(5,1) is a solution to the equation 2x -3y =7. what does this... (answered by FrankM)
(5,1) is a solution t the equation 2x-3y=7.what does this mean? (answered by Maths68)
(5,1) is a solution to the equation 2x-3y= 7. what does that... (answered by edjones)