Answered

Westonci.ca is your go-to source for answers, with a community ready to provide accurate and timely information. Get quick and reliable answers to your questions from a dedicated community of professionals on our platform. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.

How many solutions does the system formed by x - y = 3 and ay + 3a = 0 have for a non zero number a? Explain and show how you get the answer please

Sagot :

naǫ
Solve both equations for y:
[tex]x-y=3 \ \ \ |-x \\ -y=-x+3 \ \ \ |\times (-1) \\ y=x-3 \\ \\ ay+3a=0 \ \ \ |-3a \\ ay=-3a \ \ \ |\div a, a \not= 0 \\ y=-3[/tex]

Set the expressions equal to each other:
[tex]y=y \\ x-3=-3 \ \ \ |+3 \\ x=0 \\ \\ (x,y)=(0,-3)[/tex]

So, for every nonzero number a the system of equations has one solution.
Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. We're glad you chose Westonci.ca. Revisit us for updated answers from our knowledgeable team.