At this page you will learn about solving equations by linear combination.  Here is an example of one problem You could solve by linear combination:
5X-2Y=4    and     3x+y=9
5x-2y=4
2(3x+y=9) 
6x+2y=18
11x=22
x=2

3(2)-2y=4
6-2y=4
y=3




 

  here are the two equations.
You have to multiply the second equastion by two so the "Y"'s will cancel out and you can solve for "x", and that equals: 
 

you have to put the x back in the first equastion ad solve for y. 
the rest is substitution:

 

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