document.write( "Question 39449: Use Cramer's Rule to solve this equation.\r
\n" ); document.write( "\n" ); document.write( "2x-5y=18
\n" ); document.write( "-x+3y=10
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Algebra.Com's Answer #24882 by longjonsilver(2297)\"\" \"About 
You can put this solution on YOUR website!
M = \"+matrix%282%2C2%2C%0D%0A2%2C-5%2C%0D%0A-1%2C3%0D%0A%29+\"\r
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\n" ); document.write( "\n" ); document.write( "Its determinant, D is:
\n" ); document.write( "D = (2)(3)-(-1)(-5)
\n" ); document.write( "D = 6-5
\n" ); document.write( "D = 1\r
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\n" ); document.write( "\n" ); document.write( "Now repeat on
\n" ); document.write( "\"+matrix%282%2C2%2C%0D%0A18%2C-5%2C%0D%0A10%2C3%0D%0A%29+\"\r
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\n" ); document.write( "\n" ); document.write( "Dx = (18)(3)-(10)(-5)
\n" ); document.write( "Dx = 54+50
\n" ); document.write( "Dx = 104\r
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\n" ); document.write( "\n" ); document.write( "and also on
\n" ); document.write( "\"+matrix%282%2C2%2C%0D%0A2%2C18%2C%0D%0A-1%2C10%0D%0A%29+\"\r
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\n" ); document.write( "\n" ); document.write( "Dy = (2)(10)-(-1)(18)
\n" ); document.write( "Dy = 20+18
\n" ); document.write( "Dy = 38\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "So, x = Dx/D
\n" ); document.write( "--> x = 104/1
\n" ); document.write( "--> x = 104\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "So, y = Dy/D
\n" ); document.write( "--> y = 38/1
\n" ); document.write( "--> y = 38\r
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\n" ); document.write( "\n" ); document.write( "CHECK:
\n" ); document.write( "2x-5y
\n" ); document.write( "2(104)-5(38)
\n" ); document.write( "208-190
\n" ); document.write( "18... CORRECT\r
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\n" ); document.write( "\n" ); document.write( "and -x+3y
\n" ); document.write( "-(104)+3(38)
\n" ); document.write( "-104+114
\n" ); document.write( "10... CORRECT\r
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\n" ); document.write( "\n" ); document.write( "jon.
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