document.write( "Question 64680: Please help solve the equation and give the x-value solution\r
\n" ); document.write( "\n" ); document.write( "1/2x+3/5y=3/2\r
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Algebra.Com's Answer #46466 by chitra(359)\"\" \"About 
You can put this solution on YOUR website!
The given equations are: \r
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\n" ); document.write( "\n" ); document.write( "\"%281%2F2%29x+%2B+%283%2F5%29y+=+%283%2F2%29\" -------------> (1)\r
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\n" ); document.write( "\n" ); document.write( "\"%28-1%2F4%29x+-+%281%2F8%29y+=+%281%2F8%29\" -------------> (2) \r
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\n" ); document.write( "\n" ); document.write( "Multiply EQN (1) by \"%281%2F2%29\", we get: \r
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\n" ); document.write( "\n" ); document.write( "\"%281%2F4%29x+%2B+%283%2F10%29y+=+%283%2F4%29\" -------------> (3) \r
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\n" ); document.write( "\n" ); document.write( "Adding (2) and (3), we get: \r
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\n" ); document.write( "\n" ); document.write( "\"%287%2F40%29y+=+%287%2F8%29\" \r
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\n" ); document.write( "\n" ); document.write( "Hence, y = \"%287%2F8%29+%2A+%2840%2F7%29\" \r
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\n" ); document.write( "\n" ); document.write( "This implies, y = 5 \r
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\n" ); document.write( "\n" ); document.write( "Now, substituting for y in any of the above equations, either in (1) or (2) we get the value of x.\r
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\n" ); document.write( "\n" ); document.write( "So substituting for y in (1), we get: \r
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\n" ); document.write( "\n" ); document.write( "\"%281%2F2%29x+%2B+%283%2F5%29%2A5+=+%283%2F2%29\" \r
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\n" ); document.write( "\n" ); document.write( "\"%281%2F2%29x+%2B+3+=+%283%2F2%29\" \r
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\n" ); document.write( "\n" ); document.write( "\"%281%2F2%29x+=+%283%2F2%29+-+3\" \r
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\n" ); document.write( "\n" ); document.write( "\"%281%2F2%29x+=+-%283%2F2%29\" \r
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\n" ); document.write( "\n" ); document.write( "This implies,\r
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\n" ); document.write( "\n" ); document.write( "x = -\"%283%2F2%29+%2A+%282%2F1%29\"\r
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\n" ); document.write( "\n" ); document.write( "x = -3 \r
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\n" ); document.write( "\n" ); document.write( "Hence, the solution. \r
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