SOLUTION: Solve the following systems of two linear equations. 4x-2y =2 -2x+y =-1

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Question 384194: Solve the following systems of two linear equations.
4x-2y =2
-2x+y =-1
Found 2 solutions by ewatrrr, stanbon:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!



Hi

Solve the following systems of two linear equations

 4x-2y =2

-2x+ y  =-1 Multiplying second equation by 2



 4x-2y =2

-4x+2y =-2

 0 = 0 there is NO solution to this system of equations.

Note:  Graph indicates equations represent parallell lines that do not intersect.



 graph%28+300%2C+300%2C-6%2C6%2C-6%2C6%2C2x-1%2C2x%2B1%29+

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Solve the following systems of two linear equations.
4x-2y =2
-2x+y =-1
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Multiply the 2nd equation by 2 to get:
-4x+2y = -2
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Add that to the 1st equation to get:
0=0
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Conclusion: The two equations are the same.
The system has an infinite number of solutions:
all points of the form (x,2x-1) where x is
any Real Number.
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Cheers,
Stan H.