Question 558688
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*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \ \,\,4x\ -\ y\ =\ \,10]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ -3x\ +\ y\ =\ -6]


Notice that the coefficient on *[tex \Large y] in the first equation is the additive inverse of the coefficient on *[tex \Large y] in the second equation.  Just add the equations:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ 4x\ -\ 3x\ -\ y\ +\ y\ =\ 10\ -\ 6]


Notice that the *[tex \Large y] variable (in this case) is <i>eliminated</i>, hence the name Elimination Method.


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ x\ =\ 4]


Substitute the calculated value back into either given equation:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ 4(4)\ -\ y\ =\ 10]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ y\ =\ 6]


The solution set is *[tex \Large \left{(4,6)\right}]


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