document.write( "Question 1208439: If 123y=83ten, find the value of y \n" ); document.write( "
Algebra.Com's Answer #846860 by math_tutor2020(3817)\"\" \"About 
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\n" ); document.write( "If you are trying to solve this equation
\n" ); document.write( "\"123%5By%5D+=+83%5B10%5D\"
\n" ); document.write( "then it looks like you're trying to find the value of 123 base y when it is equal to 83 base 10.
\n" ); document.write( "y is an integer such that \"y+%3E=+2\"\r
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\n" ); document.write( "\n" ); document.write( "\"123%5By%5D+=+1%2Ay%5E2%2B2%2Ay%5E1%2B3%2Ay%5E0+=+y%5E2%2B2y%2B3\"\r
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\n" ); document.write( "\n" ); document.write( "\"123%5By%5D+=+83%5B10%5D\"\r
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\n" ); document.write( "\n" ); document.write( "\"y%5E2%2B2y%2B3+=+83\"\r
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\n" ); document.write( "\n" ); document.write( "\"y%5E2%2B2y%2B3-83+=+0\"\r
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\n" ); document.write( "\n" ); document.write( "\"y%5E2%2B2y-80+=+0\"\r
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\n" ); document.write( "\n" ); document.write( "\"%28y%2B10%29%28y-8%29+=+0\"\r
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\n" ); document.write( "\n" ); document.write( "\"y%2B10+=+0\" or \"y-8+=+0\"\r
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\n" ); document.write( "\n" ); document.write( "\"y+=+-10\" or \"y+=+8\"
\n" ); document.write( "Ignore the negative value since \"y+%3E=+2\"\r
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\n" ); document.write( "\n" ); document.write( "\"y+=+8\" is the only practical solution.\r
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\n" ); document.write( "\n" ); document.write( "We go from \"123%5By%5D+=+83%5B10%5D\" to \"123%5B8%5D+=+83%5B10%5D\"
\n" ); document.write( "123 base 8 = 83 base 10\r
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\n" ); document.write( "\n" ); document.write( "Verification using WolframAlpha
\n" ); document.write( "https://www.wolframalpha.com/input?i=123+base+8+%3D+83+base+10
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