document.write( "Question 1081639: Eight gallons of salt consists of 35% salt. It is the result of mixing a 50% solution with a 30% solution. How many gallons of each of the solutions was used? The corresponding modeling system is
\n" ); document.write( "X+y=8
\n" ); document.write( ".5x+.3y=.35(8)
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Algebra.Com's Answer #695701 by josmiceli(19441)\"\" \"About 
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(1) \"+x+%2B+y+=+8+\"
\n" ); document.write( "(2) \"+.5x+%2B+.3y+=+2.8+\"
\n" ); document.write( "----------------------
\n" ); document.write( "(2) \"+5x+%2B+3y+=+28+\"
\n" ); document.write( "Multiply both sides of (1) by \"+3+\"
\n" ); document.write( "and subtract (1) from (2)
\n" ); document.write( "(2) \"+5x+%2B+3y+=+28+\"
\n" ); document.write( "(1) \"+-3x+-+3y+=+-24+\"
\n" ); document.write( "-----------------------
\n" ); document.write( "\"+2x+=+4+\"
\n" ); document.write( "\"+x+=+2+\"
\n" ); document.write( "and
\n" ); document.write( "(1) \"+2+%2B+y+=+8+\"
\n" ); document.write( "(1) \"+y+=+6+\"
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\n" ); document.write( "2 gallons of the 50% solution are needed
\n" ); document.write( "6 gallons of the 30% solution are needed
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\n" ); document.write( "check:
\n" ); document.write( "(2) \"+.5x+%2B+.3y+=+2.8+\"
\n" ); document.write( "(2) \"+.5%2A2+%2B+.3%2A6+=+2.8+\"
\n" ); document.write( "(2) \"+1+%2B+1.8+=+2.8+\"
\n" ); document.write( "(2) \"+2.8+=+2.8+\"
\n" ); document.write( "OK
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