by multiplying equation (1) by D and equation (2) by A. Before he can continue, his friend Angela comes by and says, "No, you should have multiplied equation (1) by E and equation (2) by B. Is Angela right? Why or why not?

Both are correct. I case you multiply equation (1) by D and equation (2) by A, you will get value of y before value of x.

In the latter case you will get value of x before value of y.

But you will get same values of x and y.

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