SOLUTION: Solve using the substitution method. 2x-2y=7 x=y+5 2(y+5)-2y=7 2y+10-2y=7 -10 -10 2y-2y=-3 0=-3 OR if I cancel out the variables first I get 1

Algebra ->  Functions -> SOLUTION: Solve using the substitution method. 2x-2y=7 x=y+5 2(y+5)-2y=7 2y+10-2y=7 -10 -10 2y-2y=-3 0=-3 OR if I cancel out the variables first I get 1      Log On


   



Question 675304: Solve using the substitution method.
2x-2y=7
x=y+5
2(y+5)-2y=7
2y+10-2y=7
-10 -10
2y-2y=-3
0=-3
OR if I cancel out the variables first I get 10=7
Obviously, neither of these is right, so what am I doing wrong?
Thanks,
Mandie

Answer by ReadingBoosters(3246) About Me  (Show Source):
You can put this solution on YOUR website!
2x - 2y = 7
x = y+5
2(y+5) - 2y = 7
2y + 10 - 2y = 7
10 = 7
There is no solution.
...
You haven't done anything wrong, the lines don't intersect anywhere, they are parallel with the same slope of 1.
2x-2y = 7 | 2x-7=2y | highlight_green%28y+=+x-%287%2F2%29%29
x = y + 5 | highlight%28y+=+x-5%29
...
graph%28300%2C200%2C-10%2C10%2C-10%2C10%2Cx-5%2C+x-%287%2F2%29%29
.....................
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