Answered

Welcome to Westonci.ca, where curiosity meets expertise. Ask any question and receive fast, accurate answers from our knowledgeable community. Connect with a community of experts ready to help you find accurate solutions to your questions quickly and efficiently. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.

How do I work out the following simultaneous equations?
x+3y=11 and 2x-y=11

Thank you, this is part of my half term homework and I really need to understand how to do this as soon as possible , thank you!

Sagot :

konrad509
I'll show you two ways.

By substitution:

[tex]x+3y=11\\ 2x-y=1\\\\ x=11-3y\\ 2x-y=1\\\\ 2(11-3y)-y=1\\ 22-6y-y=1\\ -7y=-21\\ y=3\\\\ x=11-3\cdot3\\ x=11-9\\ x=2\\\\ \boxed{(x,y)=\left(2,3\right)}[/tex]

By elimination:

[tex]x+3y=11\\ 2x-y=1|\cdot 3\\\\ x+3y=11\\ \underline{6x-3y=3}\\ 7x=14\\ x=2\\\\ 2+3y=11\\ 3y=9\\ y=3\\\\ \boxed{(x,y)=\left(2,3\right)}[/tex]
Visit us again for up-to-date and reliable answers. We're always ready to assist you with your informational needs. Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. We're glad you visited Westonci.ca. Return anytime for updated answers from our knowledgeable team.