document.write( "Question 442559: solving by elimination method. 5x+5y=-11
\n" ); document.write( " 7x-3y=13
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Algebra.Com's Answer #305549 by ankor@dixie-net.com(22740)\"\" \"About 
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solving by elimination method.
\n" ); document.write( " 5x+5y=-11
\n" ); document.write( " 7x-3y=13
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\n" ); document.write( "Multiply the 1st equation by 3, multiply the 2nd equation by 5, results:
\n" ); document.write( "15x + 15y = -33
\n" ); document.write( "35x - 15y = 65
\n" ); document.write( "-----------------addition eliminates y, find x
\n" ); document.write( "50x = 32
\n" ); document.write( "x = \"32%2F50\"
\n" ); document.write( "simplify, divide by 2
\n" ); document.write( "x = \"16%2F25\" or x = .64
\n" ); document.write( ":
\n" ); document.write( "Find y using the 1st equation:
\n" ); document.write( "5(\"16%2F25\") + 5y = -11
\n" ); document.write( "\"16%2F5\" + 5y = -11
\n" ); document.write( "same as
\n" ); document.write( "3.2 + 5y = -11
\n" ); document.write( "5y = -11 - 3.2
\n" ); document.write( "5y = -14.2
\n" ); document.write( "y = \"-14.2%2F5\"
\n" ); document.write( "y = -2.84
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\n" ); document.write( "Check solutions in the 2nd original equation:
\n" ); document.write( "7x - 3y = 13
\n" ); document.write( "7(.64) - 3(-2.84) = 13
\n" ); document.write( "4.48 + 8.52 = 13
\n" ); document.write( "13 = 13; confirms our solutions\r
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