document.write( "Question 349381: Have to determine the values of x and y based on the following equations.\r
\n" ); document.write( "\n" ); document.write( "xy=56
\n" ); document.write( "y-x=1
\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #249955 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
1. $\"xy=56\"$
\n" ); document.write( "2. $\"y-x=1\"$
\n" ); document.write( "From eq. 1,
\n" ); document.write( "y=56/x
\n" ); document.write( "Substitute into eq. 2,
\n" ); document.write( " $\"56%2Fx-x=1\"$
\n" ); document.write( " $\"56-x%5E2=x\"$
\n" ); document.write( " $\"x%5E2%2Bx-56=0\"$
\n" ); document.write( " $\"%28x%2B8%29%28x-7%29=0\"$
\n" ); document.write( "Two solutions:
\n" ); document.write( " $\"x%2B8=0\"$
\n" ); document.write( " $\"x=-8\"$
\n" ); document.write( " $\"y=56%2F%28-8%29\"$
\n" ); document.write( " $\"y=-7\"$
\n" ); document.write( "(-8,-7)
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( " $\"x-7=0\"$
\n" ); document.write( " $\"x=7\"$
\n" ); document.write( " $\"y=56%2F7\"$
\n" ); document.write( " $\"y=8\"$
\n" ); document.write( "(7,8)
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( "Graphical verification of the solutions:
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( "

\n" ); document.write( " \n" ); document.write( "

\n" );