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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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I don't understand what you are asking?
suppose you have a specific system to solve, like \[2x+3y=13\] and \[x-6y=-1\] then you can rewrite the first equation \[2x+3y=13\] as an "equivalent" equation \[4x+6y=26\]

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thank you @satellite73 as usual you are amazing. you are so awesome. i love you
the purpose for doing that, is that now you have the same "coefficient' for the \(y\) term, which means when you add the two equations \[4x+6y=26\]\[x-6y=-1\] you get \[5x=25\]so rewriting either one or both of the equations as and equivalent equation allows you to arrange it so that one variable will add up to zero (cancel)
yw (blush)

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