October 2018 0 17 Report
Himpunan penyelesaian dari sistem persamaan linear {1/x +3/y =1 dan 5/x + 21/y=6
adalah ??
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dari Lennykurnia80

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izharulhaq78
\frac{1}{x}+\frac{3}{y}=1\\\frac{y+3x}{xy}=1\\y+3x=xy\\y=xy-3x\\\\\frac{5}{x}+\frac{21}{y}=6\\\frac{5y+21x}{xy}=6\\5y+21x=6xy\\5(xy-3x)+21x=6xy\\5xy-15x+21x=6xy\\6x=6xy-5xy\\6x=xy\\6=y\\\\y=xy-3x\\3x=xy-y\\3x=x(6)-6\\6=6x-3x\\6=3x\\2=x\\\\\boxed{HP=\{2,6\}}

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