Question

What type of solution does the system of linear equations have? 2x - 6y = 8 -x + 3y = 10

Answer 1

Let's actually find the solution of

2x - 6y = 8
-x + 3y = 10

Let's use the addition/subtraction method.  Multiply the 2nd equation by 2, obtaining

 2x - 6y = 8 
-2x + 6y = 20
--------------------
  0  + 0 = 28

Since this can never be true, the system of linear equations

2x - 6y = 8 
-x + 3y = 10

has no solution.