Answered

Discover a wealth of knowledge at Westonci.ca, where experts provide answers to your most pressing questions. Get detailed and accurate answers to your questions from a community of experts on our comprehensive Q&A platform. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.

lee is thinking of two Numbers,the product is 18. the quotient is 2

Sagot :

naǫ
x, y - the numbers

The product is 18.
[tex]xy=18[/tex]

The quotient is 2.
[tex]\frac{x}{y}=2 \ \ \ |\times y \\ x=2y[/tex]

Substitute 2y for x in the 1st equation:
[tex]2y \times y=18 \\ 2y^2=18 \ \ \ |\div 2 \\ y^2=9 \\ y=\pm \sqrt{9} \\ y=3 \ \lor \ y=-3 \\ \\ x=2y \\ x=2 \times 3 \ \lor \ x=2 \times (-3) \\ x=6 \ \lor \ x=-6 \\ \\ (x,y)=(6,3) \hbox{ or } (x,y)=(-6,-3)[/tex]

The numbers are 6 and 3 or -6 and -3.
Lilith
[tex]\begin{cases} x*y=18 \\ \frac{x}{y}=2 \end{cases}\\\\\begin{cases} 2y*y=18 \\ x=2y \end{cases}\\\\ \begin{cases} 2y^2=18\ \ /:2 \\ x=2y \end{cases}\\\\\begin{cases} y^2=9 \\ x=2y \end{cases}\\\\ y^2-9=0\\\\(y-3)(y+3)=0\\y-3=0\ \ \vee \ \ y+3=0\\y=3 \ \ \vee \ \ y=-3[/tex]

[tex]\begin{cases} y=3 \\ x=2y \end{cases}\ \ \vee \ \ \ \ \begin{cases} y=-3 \\ x=2y \end{cases}\\\\ \begin{cases} y=3 \\ x=2*3 \end{cases}\ \ \vee \ \ \ \ \begin{cases} y=-3 \\ x=2*(-3) \end{cases}\\\\ \begin{cases} y=3 \\ x=6 \end{cases}\ \ \vee \ \ \ \ \begin{cases} y=-3 \\ x=-6\end{cases}\\\\[/tex]


Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Your questions are important to us at Westonci.ca. Visit again for expert answers and reliable information.