You can put this solution on YOUR website! I'm going to use the elimination method for this
2x+y=6
x+2y=9+> multiply only the bottom row by -2
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you should get
2x+y=6
-2x-4y=-18
you can cross out the x values and then add downward.
you get
-3y=-12
divide by -3 to -12
y=4
now take y=4 and put it in any equation
2x+(4)=6
-4 on both sides.
you get 2x=2
divide by 2
x=1
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y=4
x=1
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hope this helps :)