document.write( "Question 1157996: A party rental company has chairs and tables for rent. The total cost to rent 5 chairs and 6 tables is 60$. The total cost to rent 3 chairs and 2 tables is $22. What is the cost to rent each chair and each table? \n" ); document.write( "

Algebra.Com's Answer #780907 by mananth(16946) $\"\"$ $\"About$

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\n" ); document.write( "let rent for chair be x and that of table by y
\n" ); document.write( " The total cost to rent 5 chairs and 6 tables is 60$.
\n" ); document.write( "5x+6y=60\r
\n" ); document.write( "\n" ); document.write( " The total cost to rent 3 chairs and 2 tables is $22.
\n" ); document.write( "3x+2y=22\r
\n" ); document.write( "\n" ); document.write( "Solve equations\r
\n" ); document.write( "\n" ); document.write( "5.00 x + 6.00 y = 60.00
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "3.00 x + 2.00 y = 22.00 .............2
\n" ); document.write( "Eliminate y
\n" ); document.write( "multiply (1)by 1.00
\n" ); document.write( "Multiply (2) by -3.00
\n" ); document.write( "5.00 x 6.00 y = 60.00
\n" ); document.write( "-9.00 x -6.00 y = -66.00
\n" ); document.write( "Add the two equations
\n" ); document.write( "-4.00 x = -6.00
\n" ); document.write( "/ -4.00
\n" ); document.write( "x = 1.50
\n" ); document.write( "plug value of x in (1)
\n" ); document.write( "5.00 x + 6.00 y = 60.00
\n" ); document.write( "7.50 + 6.00 y = 60.00
\n" ); document.write( " 6.00 y = 52.50
\n" ); document.write( " y = 8.75
\n" ); document.write( "Ans x = $1.50 rent each chair
\n" ); document.write( " y = $8.75 rent each table \r
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