Question 238289
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No.  The solution set is the set of all ordered pairs *[tex \Large \left(x,y\right)] such that *[tex \Large 2x\ +\ 9y\ =\ 19].  That is all you can say about the solution set of one linear equation in two variables.


In fact, despite the fact that the solution set does have an infinite number of elements, the ordered pair that you gave is NOT one of them.


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ 2(0)\ +\ 9(5)\ =\ 45\ \neq\ 19]


I think where you erred is when you subtracted 9 from the LHS, you said *[tex \Large 9y\ -\ 9\ =\ 0].  And that is only true in the case where *[tex \Large y\ =\ 1], an assertion that you cannot support with any evidence given so far.


John
*[tex \LARGE e^{i\pi} + 1 = 0]
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