SOLUTION: I am having problems with these equations by subtitution. 8y=15-4x x+2y=4

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Question 29485: I am having problems with these equations by subtitution.
8y=15-4x
x+2y=4

Found 2 solutions by josmiceli, Earlsdon:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
I don't think there is a solution
8y=15-4x
x+2y=4
multiply 2nd by 4
4x + 8y = 16
rearrange the 1st
4x + 8y = 15
if you 4x + 8y in the 2nd into the 1`st, you get 15 = 16
that's because the plots of the equations are parallel lines
and theres no common solution
in the form y = mx + b,
y = -1/2 x + 2
and
y = -1/2 x + 15/8
so, they're 1/8 apart and both have -1/2 slope

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Solve by substitution:
1) 8y+=+15-4x and
2) x%2B2y+=+4 Express this one in terms of x and substitute into the first equation then solve for y.
2a) x+=+-2y%2B4 Substitute for x into equation 1)
1a) 8y+=+15-4%28-2y%2B4%29 Simplify and combine like-terms.
1a) 8y+=+15%2B8y-16 Subtract 8y from both sides of the equation.
1a) 0+=+-1 Never true!
The solution to this system of equations is the "empty set" or "null set"
This means that the two lines represented by these equations do not intersect, i.e., they are parallel lines.
You can easily verify this parallelism by finding the slope of each line. You will find that the slopes are the same.
This is left as an exercise for the student!