document.write( "Question 29389: Slove each system of equations algebraically. x= ( y-3)^2 +2
\n" ); document.write( " y + x = 5 \n" ); document.write( "

Algebra.Com's Answer #17632 by Nate(3500) $\"\"$ $\"About$

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this is a \"sideways\" parabola and a linear equation
\n" ); document.write( "y + x = 5
\n" ); document.write( "y = -x + 5 get a variable by itself
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\n" ); document.write( "x= ( y-3)^2 +2 original equation
\n" ); document.write( "x= (-x+2)^2 +2 fill in (-x+5) for y *see above*
\n" ); document.write( "x = x^2-4x+6 simplify
\n" ); document.write( "0 = x^2-5x+6 simplify
\n" ); document.write( "0 = (x-3)(x-2) simplify
\n" ); document.write( "x=3 these are possible x values in an ordered
\n" ); document.write( "x=2
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\n" ); document.write( "y + x = 5 original equation
\n" ); document.write( "y + (3) = 5 plug in your x value
\n" ); document.write( "y = 2
\n" ); document.write( "(3,2)
\n" ); document.write( "y + x = 5 original equation
\n" ); document.write( "y + (2) = 5 5 plug in your other x value
\n" ); document.write( "y = 3
\n" ); document.write( "(2,3) \n" ); document.write( "

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