SOLUTION: Solve using the substitution method. Show your work. If the system has no solution or an infinite number of solutions, state this. -8x – 4y = -68 x + 3y = 16

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Question 479792: Solve using the substitution method. Show your work. If the system has no solution or an infinite number of solutions, state this.
-8x – 4y = -68
x + 3y = 16
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

-8x – 4y = -68 

  x + 3y = 16

 

-8x – 4y = -68 

 8x + 24y = 128  |Multiplying 2nd EQ thru by 8 to eliminate x

      20y = 60

        y = 3  and x = 7  (x = -3*3 + 16)

Ordered pair Pt(7,3)is the solution for this INDEPENDENT system:See below

Lines intersect at Pt(7,3)





A consistent system has at least one solution.

An inconsistent system has no solutions.

An independent system has exactly one solution. ***

A dependent system has infinitely many solutions.