document.write( "Question 886615: Solve the system.\r
\n" ); document.write( "\n" ); document.write( "x-2y=3
\n" ); document.write( "5x-y=6
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Algebra.Com's Answer #536014 by rothauserc(4718)\"\" \"About 
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x -2y = 3
\n" ); document.write( "5x -y = 6
\n" ); document.write( "solve second equation for y
\n" ); document.write( "y = 5x -6
\n" ); document.write( "substitute for y in first equation
\n" ); document.write( "x -2*(5x-6) = 3
\n" ); document.write( "x -10x +12 = 3
\n" ); document.write( "-9x = -9
\n" ); document.write( "x = 1
\n" ); document.write( "substitute for x in second equation
\n" ); document.write( "5*1 -y = 6
\n" ); document.write( "-y = 1
\n" ); document.write( "y = -1
\n" ); document.write( "our solution is x = 1 and y = -1
\n" ); document.write( "check answer by substituting in both given equations
\n" ); document.write( "1 -2(-1) = 3
\n" ); document.write( "3 = 3
\n" ); document.write( "5*1 -(-1) = 6
\n" ); document.write( "6 = 6
\n" ); document.write( "our answer checks
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