You can put this solution on YOUR website! solving by elimination is simply adding or subtracting one equation from another
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with the intention of eliminating one of the variables.
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so lets line the equations up one under the other to have a better look at each variable.
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x+6y=41....eq 1
-x-2y=7.....eq 2
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It just so happens this set of equations needs no manipulation. As you observe the equations you will notice that the x terms are all set up for elimination when you add the two equations together because x-x=0.........we are left with the y terms and the constants... 6y-2y=41+7
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4y=48
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now we take y's value and plug it back into either original equation to solve for x I choose eq 1
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x+6(12)=41
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x+72=41
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Elimination means elimination of one variable so that you can solve for the remaining variable. To do this, add the 2 equation together. In this case, this will work well because one equation has x and the other has -x, so if you add them together x - x will equal zero and the resulting equation will only have Y and can be solved for Y.