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| Question 741043:  1.Does this system of equations have one solution, no solutions, or an infinite number of solutions?
 2y + 8x - 12 = 0
 4x + y = -6
 2.)
 Is (10, 2) a solution to this system of equations?
 y = 5x
 2x + y = 14
 3.)
 Does this system of equations have one solution, no solutions, or an infinite number of solutions?
 2y + 8x - 12 = 0
 4x + y = -6
 4 Solve this system of equations using the addition method.
 5x + 2y = 19
 x - 2y = -1
 
 5.) Solve this system of equations using the addition method.
 5x + y = 6
 2y = x +1
 Answer by stanbon(75887)
      (Show Source): 
You can put this solution on YOUR website! 1.Does this system of equations have one solution, no solutions, or an infinite number of solutions? 2y + 8x - 12 = 0
 4x + y = -6
 --------
 y = -4x+3
 y = -4x-6
 Parallel, so no solutions.
 ---------------------------------
 2.)
 Is (10, 2) a solution to this system of equations?
 y = 5x
 2x + y = 14
 ------
 2 = 5*10::::::false
 ---------------------------------
 3.)
 Does this system of equations have one solution, no solutions, or an infinite number of solutions?
 2y + 8x - 12 = 0
 4x + y = -6
 ----------
 y = 4x - 6
 y = -4x - 6
 --
 Infinitely many solutions.
 ================================
 4 Solve this system of equations using the addition method.
 5x + 2y = 19
 x - 2y = -1
 -----------------
 6x = 18
 x = 3
 -----
 Solve for "y":
 2y = x+1
 2y = 4
 y = 2
 ================================
 5.) Solve this system of equations using the addition method.
 5x + y = 6
 2y = x +1
 --------
 10x + 2y = 12
 x   - 2y = -1
 -----
 Add:
 11x = 11
 x = 1
 ----
 Solve for "y":
 y = -5x+6
 y = -5+6
 y = 1
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 Cheers,
 Stan H.
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