SOLUTION: Solve the equations by substitution. If the equations are inconsistent and the solution is an empty set, write "no solution". x

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Question 561577: Solve the equations by substitution. If the equations are inconsistent and the solution is an empty set, write "no solution".
x - y = 6
x = y + 2
Found 2 solutions by solver91311, stanbon:
Answer by solver91311(24713) (Show Source):
You can put this solution on YOUR website!

Replace in the first equation with the thing is equal to in the second equation, namely . Collect like terms ending with the absurdity that . No solution.

John

My calculator said it, I believe it, that settles it

Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
Solve the equations by substitution. If the equations are inconsistent and the solution is an empty set, write "no solution".
x - y = 6
x = y + 2
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Substitute for "x" and solve for "y":
(y+2) - y = 6
2 = 6
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That happend because we assumed there was an (x,y) pair
that saisfied both equations.
There is no such point.
---
The equations are inconsistent.
Cheers,
Stan H.
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SOLUTION: Solve the equations by substitution. If the equations are inconsistent and the solution is an empty set, write "no solution". x - y = 6 x = y + 2