SOLUTION: Solve the system of linear equations using any method. 2x + y = 5 and 4x + 3y = 11 does this have? The system has infinitely many solutions. The system has one and only

Algebra ->  Equations -> SOLUTION: Solve the system of linear equations using any method. 2x + y = 5 and 4x + 3y = 11 does this have? The system has infinitely many solutions. The system has one and only      Log On


   

Question 480489: Solve the system of linear equations using any method.
2x + y = 5 and 4x + 3y = 11
does this have?
The system has infinitely many solutions.
The system has one and only one solution (2, 1).
The system has no solutions.
none of the above?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

Solve the system of linear equations using any method.

2x + y = 5   OR y = -2x+5

4x + 3y = 11

4x + 3(-2x+5) = 11

    -2x = -4

      x = 2  and y = 1  (-2*2 + 5 = 1)

The system has one and only one solution (2, 1).