LuisaMadigan448 LuisaMadigan448
  • 24-06-2015
  • Mathematics
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Solve for both systems: 2x + 5y = 24 and - 2x + 3y = 40

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ImpatientAngel
ImpatientAngel ImpatientAngel
  • 24-06-2015
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Azgarok
Azgarok Azgarok
  • 24-06-2015
[tex]\begin{cases} 2x+5y&=24(1)\\ -2x+3y&=40(2) \end{cases} (1)+(2) : 8y=64 \Rightarrow y=\frac{64}8=8\\(1) : x=\frac{24-5y}2=\frac{24-5\cdot8}2=-8 \\\boxed{x=-8,y=8}[/tex]
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