A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 3 years ago
I need help getting started on this one. Don't give me the answer, though.
So I am trying to find the solution to this linear system through substitution. {  2x  y = 3 and y  12 = x.
anonymous
 3 years ago
I need help getting started on this one. Don't give me the answer, though. So I am trying to find the solution to this linear system through substitution. {  2x  y = 3 and y  12 = x.

This Question is Closed

UnkleRhaukus
 3 years ago
Best ResponseYou've already chosen the best response.1isolate y in the second equation , then substitute this into the first equation

UnkleRhaukus
 3 years ago
Best ResponseYou've already chosen the best response.1actually it would be simpler to just substitute x from the second equation into the first ( as it is already isolated)

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Oh, so to substitute we get  2(y  12) = 3?

UnkleRhaukus
 3 years ago
Best ResponseYou've already chosen the best response.1yeah that's the quickest way ,

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0So, to solve I would distribute the 2. So I get  2y + 24 = 3, then I subtract 24 from both sides and get  2y =  21, I divide both sides by  2 and get y = 10.5? Is that right?

UnkleRhaukus
 3 years ago
Best ResponseYou've already chosen the best response.1your working looks right , but there must be a mistake somewhere

UnkleRhaukus
 3 years ago
Best ResponseYou've already chosen the best response.1ahh you forgot one term  2x  y = 3 , y  12 = x. 2(y12)y=3  2y + 24 y =3

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Since the variables are on the same side do you add them together and get  3y?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Okay so we get  3y + 24 = 3 and then we subtract 24 from both sides and get  3y =  21, then we divide both sides by negative 3 and get y = 7

UnkleRhaukus
 3 years ago
Best ResponseYou've already chosen the best response.1very good. now just use this to find x and your done

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0So, we get  2x  7 = 3. So then we add 7 to both sides and get  2x = 10, then we divide both sides by  2 and get x =  5?

UnkleRhaukus
 3 years ago
Best ResponseYou've already chosen the best response.1\[\LARGE\color{red}{\checkmark\checkmark}\]

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Thanks for the help. So the solution is ( 5, 7)?

UnkleRhaukus
 3 years ago
Best ResponseYou've already chosen the best response.1i might have been quicker to substitute y=7 into the second equation but the result is the same (5,7) Yes!
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.