document.write( "Question 1086028: Find all pairs of real numbers (x,y) such that x + y = 6 and x^2 + y^2 = 28. If you find more than one pair, then list your pairs in order by increasing x value, separated by commas. For example, to enter the solutions (2,4) and (-3,9), you would enter \"(-3,9),(2,4)\" (without the quotation marks).
\n" ); document.write( "*That's a quadratic in x \n" ); document.write( "

Algebra.Com's Answer #700134 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"x=6-y\"$
\n" ); document.write( "Substituting,
\n" ); document.write( " $\"%286-y%29%5E2%2By%5E2=28\"$
\n" ); document.write( " $\"y%5E2-12y%2B36%2By%5E2=28\"$
\n" ); document.write( " $\"2y%5E2-12y%2B8=0\"$
\n" ); document.write( " $\"y%5E2-6y%2B4=0\"$
\n" ); document.write( " $\"y%5E2-6y%2B9%2B4=9\"$
\n" ); document.write( " $\"%28y-3%29%5E2=5\"$
\n" ); document.write( " $\"y-3=0+%2B-+sqrt%285%29\"$
\n" ); document.write( " $\"y=3+%2B-+sqrt%285%29\"$
\n" ); document.write( "So then,
\n" ); document.write( " $\"x=6-y\"$
\n" ); document.write( "Solve for x.
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