SOLUTION: Solve each of the following systems by substitution. 8x - 4y = 16 y = 2x - 4

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Question 59365: Solve each of the following systems by substitution.
8x - 4y = 16
y = 2x - 4
Answer by rchill(405) About Me  (Show Source):
You can put this solution on YOUR website!
Because you know the value of y as defined in the 2nd equation, substitute that value in for y in the first, thusly: 8x-4(2x-4)=16. Now expand that to get 8x-8x+16=16, which simplifies to 16=16, a true statement. That implies both equations are the exact same line and an infinite solution exists.