Solve the following system using elimination 2x+4y=8 6x+10y=30

So to use the elimination method, we need to put these equations on top of each other so that we can eliminate a variable:

If we multiply the top equation by -3, we can eliminate the x variable:

And we simplify. Then we add the two equations together:

+

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Then we solve for y:

Then we need to return to one of the original equations (either will work) and plug y in. Then we will solve for x. Let's choose the first equation:

So now we know that our solution is: (10, -3).