document.write( "Question 111203: the sum of two numbers is 11 at most. Their difference is 21. What are these two numbers? \n" ); document.write( "

Algebra.Com's Answer #81108 by MathLover1(20850) $\"\"$ $\"About$

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Let numbers be $\"x\"$ and $\"y\"$ , and assume that $\"x+%3E+y\"$ \r
\n" ); document.write( "\n" ); document.write( "If the sum of two numbers is $\"11\"$ at most, we have:\r
\n" ); document.write( "\n" ); document.write( " $\"x+%2B+y+=+11\"$ \r
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\n" ); document.write( "\n" ); document.write( " If their difference is $\"21\"$ we have:
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\n" ); document.write( " $\"x+-+y+=+21\"$ \r
\n" ); document.write( "\n" ); document.write( "Now we have a system of equations:\r
\n" ); document.write( "\n" ); document.write( "Solve it by adding:\r
\n" ); document.write( "\n" ); document.write( " $\"x+%2B+y+=+11\"$
\n" ); document.write( " + $\"x+-+y+=+21\"$ .....add both equations and eliminate $\"y\"$
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\n" ); document.write( " $\"x+%2B++x+%2B+y+-%28y%29+=+11+%2B+21\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"2x++=+32\"$ ЕЕЕЕЕЕЕdivide both sides by $\"2\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"2x%2F2++=+32%2F2\"$ ЕЕЕЕЕЕЕ\r
\n" ); document.write( "\n" ); document.write( " $\"x++=+16\"$ ЕЕЕЕЕЕЕ\r
\n" ); document.write( "\n" ); document.write( "Now find $\"y\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x+%2B+y+=+11\"$ ЕЕЕЕЕplug in $\"x=16\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"16+%2B+y+=+11\"$ ЕЕЕЕЕ..move $\"16\"$ to the right\r
\n" ); document.write( "\n" ); document.write( " $\"+y+=+11+-+16\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"y+=+-+5\"$ \r
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\n" ); document.write( "\n" ); document.write( "Check:\r
\n" ); document.write( "\n" ); document.write( "Plug in values for $\"x\"$ and $\"y\"$ in previous formulas:\r
\n" ); document.write( "\n" ); document.write( " $\"x+%2B+y+=+11\"$
\n" ); document.write( " $\"16+-%285%29+=+11\"$
\n" ); document.write( " $\"11+=+11\"$ \r
\n" ); document.write( "\n" ); document.write( "another equation
\n" ); document.write( " $\"x+-+y+=+21\"$
\n" ); document.write( " $\"x+-+%28-5%29+=+21\"$
\n" ); document.write( " $\"16+%2B+5+=+21\"$
\n" ); document.write( " $\"21+=+21\"$
\n" ); document.write( " \n" ); document.write( "

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