A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 4 years ago
Determine whether the system of linear equations has one and only one solution, infinitely many solutions, or no solution.
4x− 5y=39
2x+3y=3
anonymous
 4 years ago
Determine whether the system of linear equations has one and only one solution, infinitely many solutions, or no solution. 4x− 5y=39 2x+3y=3

This Question is Closed

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0you can put the system in its matrix form, and if the inverse matrix exists, the system has only one solution

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0i know it has one solution but how do i get the solutions

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0you can divide by 3 the 2nd equation, substract y, and multiply by 3/2 on both sides, and then substitute x on the first equation

KingGeorge
 4 years ago
Best ResponseYou've already chosen the best response.2I apologize, my value of x was not correct. Rather, it should be 6.

KingGeorge
 4 years ago
Best ResponseYou've already chosen the best response.2Final answer: x = 6 y = 3

KingGeorge
 4 years ago
Best ResponseYou've already chosen the best response.2To repeat my method to make it more clear, multiply the second line by 2, so you have 4x+6y = 6. Then you can subtract line 2 from line 1, leaving you with 0x11y = 33 so y=3 then plug y=3 back in, and get 2x+3(3) = 3 so 2x=12 so x =6. Final solution: x = 6 y = 3

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0so in what case do you add both equations instead of solving for x?

KingGeorge
 4 years ago
Best ResponseYou've already chosen the best response.2Both methods work, but since you only had to multiply a single line to get a 4x in both equations, I consider this method faster. For example, if the bottom line were 45x+3y=3, I would have solved for y instead of adding the equations.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0so with 2x − y = 5 3x+ y= −6

KingGeorge
 4 years ago
Best ResponseYou've already chosen the best response.2your x should be 1/5 so if you plug that back in, y = 27/5 I think.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0i got 26/5 and it was right

KingGeorge
 4 years ago
Best ResponseYou've already chosen the best response.2Check it with the other equation. I'm guessing it won't work.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0you are right the equation gave me some weird number
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.