Question 434282
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*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \left{5u\ +\ 2v\ =\ -17\cr3u\ +\ \ v\ =\ -\ 5]


Multiply the 2nd equation by -2:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \left{\ \ 5u\ +\ 2v\ =\ -17\cr-6u\ -\ 2v\ =\ \ \ 10]


Now add the two Left Hand Sides and the two Right Hand Sides:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ -u\ +\ 0v\ =\ -7]


And solve the result for the variable that remains.


You don't specify which of the two variables is "first" in the ordered pair, so your answer is either:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ (u,v)\ =\ (7,\,-26)]


or


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ (v,u)\ =\ (-26,\,7)]



John
*[tex \LARGE e^{i\pi} + 1 = 0]
My calculator said it, I believe it, that settles it
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