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multiply everything in the bottom equation by -1 to go from 3x + 2y = 6 to -3x - 2y = -6
we now have this system 4x + 2y = 10 -3x - 2y = -6
do you see how to finish up?
1x = 4 ---> x = 4
you then use that to find y
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you can only pick one equation to save time however, I like that line of thinking since x = 4 satisfies both
solve 16 + 2y = 10 for y to get y = ???
notice how it works for 12 + 2y = 6 as well 12 + 2y = 6 12 + 2y = 6 -12 -12 2y = -6 y = -6/2 y = -3
either way, x = 4 and y = -3
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