document.write( "Question 1036350: Solve for x and y
\n" ); document.write( "15/x-y + 22/x+y = 5
\n" ); document.write( "40/x-y + 55/x+y =13 \n" ); document.write( "

Algebra.Com's Answer #651022 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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Solve for x and y
\n" ); document.write( " $\"15%2F%28%28x-y%29%29\"$ + $\"22%2F%28%28x%2By%29%29\"$ = 5
\n" ); document.write( " $\"40%2F%28%28x-y%29%29\"$ + $\"55%2F%28%28x%2By%29%29\"$ = 13
\n" ); document.write( "use elimination, multiply the 1st equation by 8, the 2nd equation by 3
\n" ); document.write( " $\"120%2F%28%28x-y%29%29\"$ + $\"176%2F%28%28x%2By%29%29\"$ = 40
\n" ); document.write( " $\"120%2F%28%28x-y%29%29\"$ + $\"165%2F%28%28x%2By%29%29\"$ = 39
\n" ); document.write( "------------------subtraction eliminates (x-y), find (x+y)
\n" ); document.write( " $\"11%2F%28%28x%2By%29%29\"$ = 1
\n" ); document.write( "x + y = 11
\n" ); document.write( ":
\n" ); document.write( "use elimination again, multiply the 1st equation by 5, the 2nd equation by 2
\n" ); document.write( "subtract the 1st equation from the 2nd eq
\n" ); document.write( " $\"80%2F%28%28x-y%29%29\"$ + $\"110%2F%28%28x%2By%29%29\"$ = 26
\n" ); document.write( " $\"75%2F%28%28x-y%29%29\"$ + $\"110%2F%28%28x%2By%29%29\"$ = 25
\n" ); document.write( "--------------------subtraction eliminates (x+y), find (x-y)
\n" ); document.write( " $\"5%2F%28%28x-y%29%29\"$ = 1
\n" ); document.write( "x - y = 5
\n" ); document.write( ":
\n" ); document.write( "Use elimination a 3rd time with these two equation
\n" ); document.write( "x + y = 11
\n" ); document.write( "x - y = 5
\n" ); document.write( "---------------Adding eliminates y, find x
\n" ); document.write( "2x = 16
\n" ); document.write( "x = 16/2
\n" ); document.write( "x = 8
\n" ); document.write( ":
\n" ); document.write( "I will let do the easy job of finding y. Check the solutions in the original problem \n" ); document.write( "

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