document.write( "Question 151375: Five tables and eight chairs cost $115; three tables and five chairs cost $70. Determine the cost of each table and each chair. \n" ); document.write( "
Algebra.Com's Answer #111277 by oscargut(2103)\"\" \"About 
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Let:
\n" ); document.write( "x= cost of a chair
\n" ); document.write( "y= cost of a table\r
\n" ); document.write( "\n" ); document.write( "Five tables and eight chairs cost $115; then 5y+8x=115
\n" ); document.write( "three tables and five chairs cost $70. then 3y+5x=70\r
\n" ); document.write( "\n" ); document.write( "then:\r
\n" ); document.write( "\n" ); document.write( "8x+5y=115
\n" ); document.write( "5x+3y=70\r
\n" ); document.write( "\n" ); document.write( "1st eq by 5
\n" ); document.write( "2nd eq by -8\r
\n" ); document.write( "\n" ); document.write( "40x+25y=575
\n" ); document.write( "-40x-24y=-560\r
\n" ); document.write( "\n" ); document.write( "adding\r
\n" ); document.write( "\n" ); document.write( "y=15\r
\n" ); document.write( "\n" ); document.write( "5x+3(15)=70
\n" ); document.write( "then\r
\n" ); document.write( "\n" ); document.write( "5x+45=70
\n" ); document.write( "5x=25
\n" ); document.write( "x=5\r
\n" ); document.write( "\n" ); document.write( "Answer: x=5 and y=15
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