document.write( "Question 777876: a restaurant sells hamburgers and french fries. one family walks in a buys 4 hamburgers and 3 orders of fries for $10.23. A second family orders 1 hamburger and 5 orders of fries for $8.04. Write and slove a system of linear equations in order to find the cost of a hamburger and order of fries \n" ); document.write( "

Algebra.Com's Answer #474299 by mananth(16946) $\"\"$ $\"About$

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x= cost of Hamburgers
\n" ); document.write( "y= cost of fries
\n" ); document.write( "Family I
\n" ); document.write( "4 x + 3 y = 10.23 .............1
\n" ); document.write( "Family II
\n" ); document.write( "1 x + 5 y = 8.04 .............2
\n" ); document.write( "Eliminate y
\n" ); document.write( "multiply (1)by -5
\n" ); document.write( "Multiply (2) by 3
\n" ); document.write( "-20 x -15 y = -51.15
\n" ); document.write( "3 x + 15 y = 24.12
\n" ); document.write( "Add the two equations
\n" ); document.write( "-17 x = -27.03
\n" ); document.write( "/ -17
\n" ); document.write( "x = 2
\n" ); document.write( "plug value of x in (1)
\n" ); document.write( "4 x + 3 y = 10.23
\n" ); document.write( "6 + 3 y = 10.23
\n" ); document.write( " 3 y = 10.23 -6
\n" ); document.write( " 3 y = 3.87
\n" ); document.write( " y = 1.29
\n" ); document.write( "x= 1.59 cost of Hamburgers
\n" ); document.write( "y= 1.29 cost of fries
\n" ); document.write( "m.ananth@hotmail.ca
\n" ); document.write( " \n" ); document.write( "

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