Question 716302
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Solve one of the equations for one of the variables in terms of the other.  In your example, it is convenient to solve the second equation for *[tex \LARGE x] in terms of *[tex \LARGE y] because you only have to add *[tex \LARGE -3y] to both sides.


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


Now that you have one of the variables defined in terms of an expression involving the other variable, replace (substitute) the defined variable in the other equation with the expression.  In your example, replace *[tex \LARGE x] in the first equation with *[tex \LARGE -3y\ +\ 4]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ 2(-3y\ +\ 4)\ +\ 5y\ =\ 5]


Solve the single variable equation that remains.  Your example: solve for *[tex \LARGE y].


Once you have a value for one of the variables (*[tex \LARGE y] in your case) substitute that value back into either of the original equations and then solve for the remaining variable.


Report the solution as an ordered pair, *[tex \LARGE (x,y)]


John
*[tex \LARGE e^{i\pi}\ +\ 1\ =\ 0]
<font face="Math1" size="+2">Egw to Beta kai to Sigma</font>
My calculator said it, I believe it, that settles it
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