SOLUTION: Can you help find the exact solution of these system of equations? {{{ y = x^2 - 6x + 1 }}} {{{ y + 2x = 6 }}}

Algebra ->  Systems-of-equations -> SOLUTION: Can you help find the exact solution of these system of equations? {{{ y = x^2 - 6x + 1 }}} {{{ y + 2x = 6 }}}       Log On


   

Question 1033882: Can you help find the exact solution of these system of equations?
+y+=+x%5E2+-+6x+%2B+1+
+y+%2B+2x+=+6+
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
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y%2B2x=6
y=6-2x
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y=x%5E2-6x%2B1
6-2x=x%5E2-6x%2B1
6=x%5E2-4x%2B1
0=x%5E2-4x-5
0=%28x-5%29%28x%2B1%29
x-5=0 OR x%2B1=0
x=5 OR x=-1
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For x=5:
y+2x=6
y+2(5)=6
y+10=6
y=-4
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CHECK:
y=x%5E2-6x%2B1
-4=%285%29%5E2-6%285%29%2B1
-4=25-30%2B1
-4=-5%2B1
-4=-4
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For x=-1:
y+2x=6
y+2(-1)=6
y-2=6
y=8
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CHECK:
y=x%5E2-6x%2B1
8=%28-1%29%5E2-6%28-1%29%2B1
8=1%2B6%2B1
8=8
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ANSWERS: (5,-4) and (-1,8)
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