document.write( "Question 392228: the greater of two numbers is 1 more than twice the smaller. three times the greater exceeds five times the smaller by 10. find the numbers
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Algebra.Com's Answer #278396 by MathLover1(20850)\"\" \"About 
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the greater of two numbers is 1 more than twice the smaller. three times the greater exceeds five times the smaller by 10. find the numbers\r
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\n" ); document.write( "\n" ); document.write( "let numbers be \"x\" and \"y\", and let \"x%3Cy\" \r
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\n" ); document.write( "\n" ); document.write( "he greater of two numbers is \"1\"more than twice the smaller; so,we will have\r
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\n" ); document.write( "\n" ); document.write( "\"y+=+2x+%2B+1\"........................(1)\r
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\n" ); document.write( "\n" ); document.write( "three times the greater exceeds five times the smaller by \"10\"\r
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\n" ); document.write( "\n" ); document.write( "\"3y+=+5x+%2B+10\"........................(2)\r
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\n" ); document.write( "solve a system\r
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\n" ); document.write( "\n" ); document.write( "\"y+=+2x+%2B+1\"........................(1)\r
\n" ); document.write( "\n" ); document.write( "\"3y+=+5x+%2B+10\"........................(2)\r
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\n" ); document.write( "\n" ); document.write( "\"y+=+2x+%2B+1\"........................(1).......substitute \"y\" in.....(2)\r
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\n" ); document.write( "\n" ); document.write( "\"3%282x+%2B+1%29+=+5x+%2B+10\"........................(2)...solve for \"x\"\r
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\n" ); document.write( "\n" ); document.write( "\"6x+%2B+3+=+5x+%2B+10\"\r
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\n" ); document.write( "\n" ); document.write( "\"6x+-+5x+=+10+-++3\"\r
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\n" ); document.write( "\n" ); document.write( "\"x+=+7\"........................now find \"y\"\r
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\n" ); document.write( "\n" ); document.write( "\"y+=+2x+%2B+1\"........................(1).substitute \"x\"\r
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\n" ); document.write( "\n" ); document.write( "\"y+=+2%2A7+%2B+1\"\r
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\n" ); document.write( "\n" ); document.write( "\"y+=+14%2B+1\"\r
\n" ); document.write( "\n" ); document.write( "\"y+=+15\"\r
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\n" ); document.write( "\n" ); document.write( "the numbers are: \"x+=+7\" and \"y+=+15\"\r
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