document.write( "Question 214877: Solve by the elimination method
\n" ); document.write( "0.05x+0.25y=11
\n" ); document.write( "0.15x+0.05y=12 \n" ); document.write( "

Algebra.Com's Answer #162345 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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Solve by the elimination method
\n" ); document.write( "0.05x + 0.25y = 11
\n" ); document.write( "0.15x + 0.05y = 12
\n" ); document.write( ":
\n" ); document.write( "Multiply both equations by 100 to get rid of the decimals
\n" ); document.write( "5x + 25y = 1100
\n" ); document.write( "15x + 5y = 1200
\n" ); document.write( ":
\n" ); document.write( "Multiply the 1st equation by 3
\n" ); document.write( "15x + 75y = 3300
\n" ); document.write( "15x + 5y = 1200
\n" ); document.write( "---------------Subtracting eliminates x; find y
\n" ); document.write( "70y = $\"2100%2F70\"$
\n" ); document.write( "y = 30
\n" ); document.write( ":
\n" ); document.write( "Find x using eq: 5x + 25y = 1100
\n" ); document.write( "5x + 25(30) = 1100
\n" ); document.write( "5x + 750 = 1100
\n" ); document.write( "5x = 1100 - 750
\n" ); document.write( "5x = 350
\n" ); document.write( "x = $\"350%2F5\"$
\n" ); document.write( "x = 70
\n" ); document.write( ";
\n" ); document.write( ":
\n" ); document.write( "Check solutions in 1st original equation
\n" ); document.write( "0.05(70) + 0.25(30) = 11
\n" ); document.write( "3.5 + 7.5 = 11 \n" ); document.write( "

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