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)![]() ![]() ![]() You can put this solution on YOUR website! Just in case you are yet in need of the solution... \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. \n" ); document.write( " |