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

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Kate200468idn
[tex]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\\\\[/tex]

[tex]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[/tex]
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