solve by elimination method 5x+2y=-13, 7x-3y=17

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The cleanest way to do this would be to multiply one by 3 and 2 all the way, respectively. 15x+6y=39 and 14x-6y=34. With the y's dropping out because 6 and -6 are opposite pairs adding to zero, adding gets one 29x=73. Divide each side by 29 to get what x is, and then use whatever you get for x to go back and find y. Do you now see why this is called the elimination method?
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