document.write( "Question 664048: A dealer sells a certain type of chair and table for $40. He also sells the same sort of table and a desk for $83 or a chair and a desk for $77. Find the price of the chair. \n" ); document.write( "
Algebra.Com's Answer #413401 by ReadingBoosters(3246)\"\" \"About 
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\n" ); document.write( "Set variables
\n" ); document.write( "x = chair
\n" ); document.write( "y = table
\n" ); document.write( "z = desk
\n" ); document.write( "...
\n" ); document.write( "Given
\n" ); document.write( "(1) x+y=40 where y=40-x
\n" ); document.write( "(2) y+z=83
\n" ); document.write( "(3) x+z=77 where z=77-x
\n" ); document.write( "...
\n" ); document.write( "Solve for x
\n" ); document.write( "..
\n" ); document.write( "Substitution of equations 1 and 3 into the second equation
\n" ); document.write( "(40-x) + (77-x) = 83
\n" ); document.write( "Group like terms
\n" ); document.write( "40+77-83 = x + x
\n" ); document.write( "34 = 2x
\n" ); document.write( "Divide both sides by 2
\n" ); document.write( "x = $17 for the chair
\n" ); document.write( "........................
\n" ); document.write( "Delighted to help.
\n" ); document.write( "-Reading Boosters
\n" ); document.write( "Wanting for others what we want for ourselves.
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