document.write( "Question 804678: Together a chair, a table, and a lamp cost $562. The chair costs 4 times as much as the lamp, and the table costs $23 less than the chair. Find the cost of the table. \n" ); document.write( "
Algebra.Com's Answer #484929 by erica65404(394)![]() ![]() You can put this solution on YOUR website! chairs =x table=y lamp=z \n" ); document.write( "x+y+z=562 \n" ); document.write( "x=4z \n" ); document.write( "y=x-23 \n" ); document.write( "first plug x into x+y+z=562 \n" ); document.write( "4z+y+z=562 \n" ); document.write( "y+5z=562 \n" ); document.write( "y=-5z+562 \n" ); document.write( "now plug x into y=x-23 \n" ); document.write( "y=4z-23 \n" ); document.write( "plug this into y=-5z+562 \n" ); document.write( "-5z+562=4z-23 \n" ); document.write( "-9z=-585 \n" ); document.write( "z=65 \n" ); document.write( "now plug z into y=4z-23 \n" ); document.write( "y=4(65)-23 \n" ); document.write( "y=237 \n" ); document.write( "The table is $237 \n" ); document.write( " |