SOLUTION: Can you help me find the exact solution of these system of equations? {{{ 2x^2 -4x = y + 1 }}} {{{ x + y = 1 }}}

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Question 1033948: Can you help me find the exact solution of these system of equations?
+2x%5E2+-4x+=+y+%2B+1+
+x+%2B+y+=+1+

Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
From the given, y = 1-x. ==> +2x%5E2+-4x+=+1-x+%2B+1+ <==> +2x%5E2+-3x+-+2=0 <==> (2x+1)(x-2) = 0 ==> x = -1/2, 2.
When x = -1/2, y = 1--1/2 = 3/2.
When x = 2, y = 1-2 = -1.
Therefore the solutions to the system are (-1/2, 3/2) and (2,-1).