SOLUTION: A linear system may have a unique solution, no solution, or infinitely many solutions. Indicate the type of the system for the following examples by U , N , or I , respectively. 2

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: A linear system may have a unique solution, no solution, or infinitely many solutions. Indicate the type of the system for the following examples by U , N , or I , respectively. 2      Log On


   

Question 1175294: A linear system may have a unique solution, no solution, or infinitely many solutions. Indicate the type of the system for the following examples by U , N , or I , respectively.
2x+3y = 0
2x+4y = 0
My Work:
2x + 3y = 0 2x + 3y = 0 2x + 3(0)=0
(2x + 4y = 0)-1 -2x - 4y = 0 x=0
y = 0 Answer: infinite
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
2x%2B3y+=+0.....eq.1
2x%2B4y+=+0.....eq.2
-------------------------subtract eq.1 from eq.2
2x%2B4y+-2x-3y+=+0
4y+-3y+=+0
y+=+0

2x%2B3%2A0+=+0.....eq.1
2x+=+0
x+=+0
so, these two lines have one intersection point and it is (x,y)=(0,0) which is origin
and we say the system above has one solution

+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+-2x%2F3%2C-2x%2F4%29+
Answer: 1