document.write( "Question 668815: Mary can buy a ring and earrings for $9, earrrings and a comb for $10, a comb and a ring for $11. What is the price of the comb? \n" ); document.write( "

Algebra.Com's Answer #415873 by ReadingBoosters(3246) $\"\"$ $\"About$

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Establish variables
\n" ); document.write( "x = ring
\n" ); document.write( "y = earrings
\n" ); document.write( "z = comb
\n" ); document.write( "...
\n" ); document.write( "Given
\n" ); document.write( "x+y = 9
\n" ); document.write( "y+z = 10
\n" ); document.write( "z+x = 11
\n" ); document.write( "Solve for z
\n" ); document.write( "...
\n" ); document.write( "z + x = 11
\n" ); document.write( "z + 9-y = 11
\n" ); document.write( "z + 9-(10-z) = 11
\n" ); document.write( "Distribute the -1
\n" ); document.write( "z + 9 - 10 + z = 11
\n" ); document.write( "Combine like terms
\n" ); document.write( "2z = 11 - 9 + 10
\n" ); document.write( "2z = 12
\n" ); document.write( " $\"highlight_green%28z=6%29\"$ for the comb.
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\n" ); document.write( "Delighted to help.
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