document.write( "Question 939289: Use ELIMINATION to solve each SYSTEM!?\r
\n" ); document.write( "\n" ); document.write( "1.) 2x+y=41; 2x+5y=13\r
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\n" ); document.write( "\n" ); document.write( "2.) -5x-2y=44; -3x +3y=39
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Algebra.Com's Answer #572357 by ankor@dixie-net.com(22740)\"\" \"About 
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
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\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
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