Question 218697
Solve the system using the linear combination method


4x+2y=2  Equation A
5x-2y=-11  Equation B


This is the elimination method (don't know if that's what your teacher means by the linear combination method.  I think this is ok because you are just taking a linear combination of Equations A and B to yield another equation).


Add the two equations A and B to ge 9x=-9 or x=-1.  Substituting x=-1 into Equation A yields -4+2y=2 or 2y=6 and  y=3.  


So solution is (-1,3).


The following solves using the Substituion method with the same results.


*[invoke linear_substitution "x", "y", 4, 2, 2, 5, -2, -11 ]


I hope the above steps were helpful.


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Respectfully,
Dr J

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