Question 198017
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What you want to find are three ordered pairs *[tex \Large (x,y)] so that when you replace *[tex \Large x] and *[tex \Large y] in the equation with the values from the ordered pair, you have a true statement.


Step 1.  Pick a value for *[tex \Large x].  It can be any real number, so pick a small integer -- it makes the arithmetic easier.  Zero is a nice round number (so to speak), so let's pick zero for our first try.


Step 2.  Substitute the selected number into the equation in place of the *[tex \Large x].


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ 2(0) + 6y = 12]


Step 3.  Solve for *[tex \Large y]:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ 6y = 12 \ \ \Rightarrow\ \ y = 2]


Step 4.  Create your ordered pair from the selected value of *[tex \Large x] and the calculated value of *[tex \Large y]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ (0,2)]


Step 5.  Check your work:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ 2(0) + 6(2) =^? 12]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ 0 + 12 = 12]  Checks.


Perform steps 1 through 5 twice more using a new value for *[tex \Large x] each time.  Done.


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