document.write( "Question 562776: Solve using the elimination method. Show your work. If the system has no solution or an infinite number of solutions, state this.
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document.write( "10x + 11y = -26.5\r
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document.write( "20x + 5y = -27.5\r
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Algebra.Com's Answer #364679 by mananth(16946)![]() ![]() You can put this solution on YOUR website! 10 x + 11 y = -26.5 .............1 \n" ); document.write( "20 x + 5 y = -27.5 .............2 \n" ); document.write( "Eliminate y \n" ); document.write( "multiply (1)by -5 \n" ); document.write( "Multiply (2) by 11 \n" ); document.write( "-50 x -55 y = 132.5 \n" ); document.write( "220 x 55 y = -302.5 \n" ); document.write( "Add the two equations \n" ); document.write( "170 x = -170 \n" ); document.write( "/ 170 \n" ); document.write( "x = -1 \n" ); document.write( "plug value of x in (1) \n" ); document.write( "10 x + 11 y = -26.5 \n" ); document.write( "-10 + 11 y = -26.5 \n" ); document.write( " 11 y = -26.5 + 10 \n" ); document.write( " 11 y = -16.5 \n" ); document.write( " y = -1.50 \n" ); document.write( " |