document.write( "Question 636588: / = a fraction
\n" ); document.write( "x/2 - y/3 = 5/6
\n" ); document.write( "x/5 - y/4 = 43/10
\n" ); document.write( "what is the solution to the system of equations by using substitution?
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Algebra.Com's Answer #401124 by MathTherapy(10552)\"\" \"About 
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\n" ); document.write( "/ = a fraction
\n" ); document.write( "x/2 - y/3 = 5/6
\n" ); document.write( "x/5 - y/4 = 43/10
\n" ); document.write( "what is the solution to the system of equations by using substitution?\r
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\n" ); document.write( "\n" ); document.write( "\"x%2F2+-+y%2F3+=+5%2F6\" \r
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\n" ); document.write( "\n" ); document.write( "3x - 2y = 5 ------ Multiplying by LCD, 6 ----- eq (i)\r
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\n" ); document.write( "\n" ); document.write( "\"x%2F5+-+y%2F4+=+43%2F10\"\r
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\n" ); document.write( "\n" ); document.write( "4x - 5y = 86 ----- Multiplying by LCD, 20 ------ eq (ii)\r
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\n" ); document.write( "\n" ); document.write( "3x - 2y = 5 ------ eq (i)
\n" ); document.write( "4x - 5y = 86 ----- eq (ii)
\n" ); document.write( "- 15x + 10y = - 25 ----- Multiplying eq (i) by - 5 ------ eq (iii)
\n" ); document.write( "8x - 10y = 172 ----- Multiplying eq (ii) by 2 ------ eq (iv)
\n" ); document.write( "- 7x = 147 ----- Adding eqs (iv) & (iii)\r
\n" ); document.write( "\n" ); document.write( "x = \"147%2F-+7\", or \"highlight_green%28-+21%29\"\r
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\n" ); document.write( "\n" ); document.write( "- 63 - 2y = 5 ----- Substituting - 21 for x in eq (i)\r
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\n" ); document.write( "\n" ); document.write( "- 2y = 5 + 63\r
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\n" ); document.write( "\n" ); document.write( "- 2y = 68\r
\n" ); document.write( "\n" ); document.write( "y = \"68%2F-+2\", or \"highlight_green%28-+34%29\"\r
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\n" ); document.write( "\n" ); document.write( "You should be able to do your own check!!\r
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\n" ); document.write( "\n" ); document.write( "Send comments and “thank-yous” to “D” at MathMadEzy@aol.com
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