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

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Question 91568: solve each of the following systems by substitution:
8x-4y=16
y=2x-4
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Solve:
8x-4y+=+16
y+=+2x-4 Substitute this for y in the first equation.
8x-4%282x-4%29+=+16 Apply the distributive property.
8x-8x%2B16+=+16 Combine like-terms.
16+=+16 Consistent!
The system is a consistent system because it has at least one solution, and the equations are dependent equations.
The graphs of the lines represented by these two equations coincide which means that there are an infinite number of solutions.
graph%28300%2C200%2C-5%2C5%2C-5%2C5%2C2x-4%29
graph%28300%2C200%2C-5%2C5%2C-5%2C5%2C2x-4%29