document.write( "Question 98445This question is from textbook elementary and intermediate algebra
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document.write( ": the sum ot three numbers is 105. the third is 11 less than ten times the second. twice the first is 7 more than three times the second. find the numbers.\r
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document.write( "my work so far:\r
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document.write( "a+b+c=105
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document.write( "10b=c+11 >> 10b-c=1
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document.write( "2a=7+3b >> 2a-3b=7\r
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document.write( "next i know i have to get rid of one of the numbers so i decided on \"a\" and i started with equations 1 and 3 so i multiplyed 1 by 2 so the \"a\"s would cancel out.\r
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document.write( "-2a-2b-c=105
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document.write( "2a-3b=7\r
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document.write( "-5b-c=112\r
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document.write( "but now im stuck i dont know what to do next.\r
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Algebra.Com's Answer #71613 by mathslover(157)![]() ![]() You can put this solution on YOUR website! Let the second number be x \n" ); document.write( "from the problem statement \"the third is 11 less than ten times the second\" \n" ); document.write( "third number = 10x -11 \n" ); document.write( "again from the problem statement \"first is 7 more than three times the second\" \n" ); document.write( "first number = 3x + 7 \r \n" ); document.write( "\n" ); document.write( "Sum of the numbers =105\r \n" ); document.write( "\n" ); document.write( "3x+7 + x + 10x-11 =105 \n" ); document.write( "14x = 109 \n" ); document.write( "x= 109/14\r \n" ); document.write( "\n" ); document.write( "second number is 109/14 \n" ); document.write( "first number = 10* 109/14 -11 \n" ); document.write( " =936/14\r \n" ); document.write( "\n" ); document.write( "third number = 3* 109/14 + 7 \n" ); document.write( " =425/14 \n" ); document.write( " |