how to solve x-4y=11 and 5x-7y=-10 using elimination

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09-11-2014
Mathematics

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how to solve x-4y=11 and 5x-7y=-10 using elimination

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kate200468 kate200468 · Answer 1 · 2014-11-09T14:51:36-05:00

kate200468 kate200468

09-11-2014

\(x-4y=11\ /\cdot(-5)\\5x-7y=-10 \\\\-5x+20y=-55\\5x-7y=-10\\--------\\-5x+20y+5x-7y=-55-10\\13y=-65\ /:13\\y=-5\\\\\)

\(x-4y=11\ /\cdot7\\5x-7y=-10\ /\cdot(-4) \\\\7x-28y=77\\-20x+28y=40\\---------\\7x-28y-20x+28y=77+40\\-13x=117\ /:(-13)\\x=-9\\\\Ans.\ \ x=-9\ \ and\ \ y=-5\)

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