Solve by substitution:

8x - 4y =16
y=2x -4

2 answers

Gee, they kind of gave it away with that second equation
Substitute y from the second equation in the first equation.

8 x - 4 ( 2 x - 4 ) = 16
or
8 x - 8 x + 16 = 16

0 = 0
This is frustrating, but look at why
write that first equation as
4 y = 8 x - 16
divide both sides by 4
y = 2 x - 4
TILT !!! That is exactly the second equation.
To find the intersection of two lines, you need two lines. We only have one here because both equations are he same when reduced to form y = m x + b
So.
There is no solution - sorry about that.
Damon! Thank you! You are very generous with your skill and knowledge. If you have time, would you take a look at some other algrbra problem I need help and understanding with? Unlike some others, you have been most thourough in explaining the process. Thank you, Carl.
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