A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 5 years ago
Identify the number of solutions for the system below.
2y = 4x + 2
y + 3 = 2x
anonymous
 5 years ago
Identify the number of solutions for the system below. 2y = 4x + 2 y + 3 = 2x

This Question is Closed

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0There are two main approaches to resolve this issue:  See if the determinant is zero. This will tell you if there is a unique solution, or if there are zero or an infinite number of solutions. If it's not unique, it won't tell you if it's zero or an infinity.  Reason geometrically, as follows: For a system with two equations, two unknowns, remember you can think of each equation as a line in an xy coordinate system. One solution means the lines cross. No solutions means they are parallel. An infinite number of solutions means they are the same line. And remember:  Two lines cross if they don't have the same slope.  Two lines are parallel if they have the same slope and a different yintercept.  Two lines are identical if they have the same slope and the same yintercept. Looking at the equations above, you see that they both have the same slope (2), but different yintercepts (1, and 3). This means you have two parallel lines, and zero solutions.
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.