document.write( "Question 432874: Arthur bought three hamburgers and four hot dogs for $10. The next day, he bought two hamburgers and three hot dogs for $7. How much does a hot dog cost? \n" ); document.write( "

Algebra.Com's Answer #300051 by mananth(16946) $\"\"$ $\"About$

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hamburgers x cost
\n" ); document.write( " hotdogs ------------ y cost
\n" ); document.write( "3x+4y=10.............1
\n" ); document.write( "2x+3y=7 .............2
\n" ); document.write( "Eliminate y
\n" ); document.write( "multiply (1)by -3
\n" ); document.write( "Multiply (2) by 4
\n" ); document.write( "-9x-12y =-30
\n" ); document.write( "8x+12y=28
\n" ); document.write( "Add the two equations
\n" ); document.write( "-1x=-2
\n" ); document.write( "/-1
\n" ); document.write( "x=$2 hamburgers
\n" ); document.write( "plug value of x in (1)
\n" ); document.write( "3x+4y= 10
\n" ); document.write( "6+4y=10
\n" ); document.write( "4y=10-6
\n" ); document.write( "4y=4
\n" ); document.write( "y=$1 hotdogs
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