document.write( "Question 939289: Use ELIMINATION to solve each SYSTEM!?\r
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document.write( "1.) 2x+y=41; 2x+5y=13\r
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document.write( "2.) -5x-2y=44; -3x +3y=39
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Algebra.Com's Answer #572357 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! 1.) \n" ); document.write( "2x + y = 41 \n" ); document.write( "2x +5y = 13 \n" ); document.write( "-------------Subtraction eliminates x, find y \n" ); document.write( "0 - 4y = 28 \n" ); document.write( "divide both sides by -4 \n" ); document.write( "y = -7 \n" ); document.write( "Use the 1st equation to find x \n" ); document.write( "2x - 7 = 41 \n" ); document.write( "2x = 41 + 7 \n" ); document.write( "2x = 48 \n" ); document.write( "x = 48/2 \n" ); document.write( "x = 24 \n" ); document.write( "Check solution in the 2nd equation \n" ); document.write( "2(24) + 5(-7) = 13 \n" ); document.write( "48 - 35 = 13 \n" ); document.write( ": \n" ); document.write( "____________________ \n" ); document.write( "2.) \n" ); document.write( "-5x - 2y = 44 \n" ); document.write( "-3x + 3y = 39 \n" ); document.write( "Multiply the 1st equation by 3, the 2nd equation by 2 \n" ); document.write( "-15x - 6y = 132 \n" ); document.write( "-6x + 6y = 78 \n" ); document.write( "---------------Adding eliminates, find x \n" ); document.write( "-21x = 210 \n" ); document.write( "Divide both sides by -21 \n" ); document.write( "x = -10 \n" ); document.write( "use the 1st equation to find y \n" ); document.write( "-5(-10) - 2y = 44 \n" ); document.write( "+50 - 2y = 44 \n" ); document.write( "-2y = 44 - 50 \n" ); document.write( "-2y = -6 \n" ); document.write( "divide both sides by -2 \n" ); document.write( "y = +3 \n" ); document.write( "Check solutions in the 2nd equation \n" ); document.write( "-3(-10) + 3(3) = 39 \n" ); document.write( "30 + 9 = 39 \n" ); document.write( " |