Answered

At Westonci.ca, we make it easy for you to get the answers you need from a community of knowledgeable individuals. Join our platform to connect with experts ready to provide accurate answers to your questions in various fields. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.

determine whether the system of linear equations has one and only one solution, infinitely many solutions, or no solution. Find all solutions whenever they exist.

x+3y=9
3x-y=7

Sagot :

452
[tex] \left \{ {{x+3y=9~(3)} \atop {3x-y=7(-1)}} \right. \\ \\ \left \{ {{3x+9y=27} \atop {-3x+y=-7}} \right. \\ \\10y=20\\ \\y= \frac{20}{10} \\y=2[/tex]

[tex]x+3y=9\\x=9-3y\\x=9-3.2\\x=3[/tex]

[tex]S=\{3,2\}[/tex]

One solution.
tomek1172
[tex]x+3y=9\\ 3x-y=7\ / \cdot 3\\ \\ x+3y=9\\ 9x-3y=21\\ \\ 10x=30\ /:10\\ x=3\\ \\ x+3y=9\\ 3+3y=9\\ 3y=6\\ y=2\\ one\ solution - (3;2)[/tex]
Thank you for choosing our service. We're dedicated to providing the best answers for all your questions. Visit us again. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. We're dedicated to helping you find the answers you need at Westonci.ca. Don't hesitate to return for more.