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What values of x and y satisfy-(13/3)x-2y=7 and3x+(2/5)y=5 simultaneously?
x = 3 and y = −10 x = −3 and y = −3 x = 1 and y = 5 x = 3 and y = 10
@gottennis121
@JDcap
\[-\frac{ 13 }{ 3 }x-2y=7 \hspace{0.5cm}Eq.1\\3x+\frac{ 2 }{ 5 }y=5\hspace{0.5cm}Eq.2 \\\\ Eq.1+\color{orange}{(Eq.2)\times 5}\hspace{0.5cm} \Rightarrow \frac{ 32 }{ 3 }x=32\Rightarrow \color{blue}{x=3} \\ \text{Replace }x \text{ \in } Eq.2\times5 \\2y=25-15\left(\color{blue}3\right)\Rightarrow \color{blue}{y=-10}\]
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