Question 270766
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*[tex \Large \left(3,\,8\right)] is an ordered pair of the form *[tex \Large \left(x,\,y\right)].  That tells us that *[tex \Large y] must equal 8 whenever *[tex \Large x] is equal to 3.


You can proceed one of two ways:


1. Substitute 3 for *[tex \Large x] in the equation:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ 7(3)\ +\ 5y\ =\ 8]


and then solve for *[tex \Large y].  If you end up with *[tex \Large y\ =\ 8] then *[tex \Large \left(3,\,8\right)] is a solution to the given equation.  Otherwise not.


2. Substitute 3 for *[tex \Large x] and 8 for *[tex \Large y] in the equation.


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ 7(3)\ +\ 5(8)\ =\ 8]


And then do the arithmetic.  If you end up with a true statement, then *[tex \Large \left(3,\,8\right)] is a solution to the given equation.  Otherwise not.



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