document.write( "Question 846684: Solve for x
\n" ); document.write( "Y=x^2-6x+8
\n" ); document.write( "2y+x=4\r
\n" ); document.write( "\n" ); document.write( "Solve for x
\n" ); document.write( "X^2+1-y=0
\n" ); document.write( "X-1-y=0 \n" ); document.write( "
Algebra.Com's Answer #509885 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
Solve for x
\n" ); document.write( "Y=x^2-6x+8
\n" ); document.write( "2y+x=4
\n" ); document.write( "------
\n" ); document.write( "x = 4-2y
\n" ); document.write( "Substitute for \"x\" and solve for \"y\":
\n" ); document.write( "y = (4-2y)^2-6(4-2y)+8
\n" ); document.write( "y = 16-16y+4y^2 -24 + 12y + 8
\n" ); document.write( "4y^2 -5y = 0
\n" ); document.write( "y(4y-5) = 0
\n" ); document.write( "y = 0 or y = 5/4
\n" ); document.write( "solve for \"x\":
\n" ); document.write( "If y = 0, x = 4-2*0 = 4
\n" ); document.write( "If y = 5/4, x = 4-2(5/4) = 4-(5/2) = 3/2
\n" ); document.write( "================================================
\n" ); document.write( "Solve for x
\n" ); document.write( "X^2+1-y=0
\n" ); document.write( "X-1-y=0
\n" ); document.write( "=============
\n" ); document.write( "y = x-1
\n" ); document.write( "Substitute for \"y\" and solve for \"x\"::
\n" ); document.write( "x^2 -(x-1) + 1 = 0
\n" ); document.write( "x^2 -x +2 = 0
\n" ); document.write( "Factor:
\n" ); document.write( "x = [1 +- sqrt(1 - 4*2]/2
\n" ); document.write( "---
\n" ); document.write( "x = (1/2) +- isqrt(7)/2
\n" ); document.write( "-----
\n" ); document.write( "Since y = x-1, y = (-1/2) +- isqrt(7)/2
\n" ); document.write( "============================================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "========================== \n" ); document.write( "
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