document.write( "Question 168836This question is from textbook Prentice Hall Algebra 2 with Trigonometry
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document.write( ": Please help me solve this equation: \r
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document.write( "numeric word problem using 3 equations.\r
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document.write( "The sum of three number is 105. The third is 11 less than 10 times the second. Twice the first is 7 more than three times the second. Find the Numbers \n" );
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Algebra.Com's Answer #124482 by Mathtut(3670)![]() ![]() ![]() You can put this solution on YOUR website! lets call the numbers a,b,and c\r \n" ); document.write( "\n" ); document.write( "a+b+c=105....eq 1 \n" ); document.write( "c=10b-11.....eq 2 \n" ); document.write( "2a=3b+7......eq 3 \n" ); document.write( ": \n" ); document.write( "lets solve for a in eq 3. a=(3b+7)/2 \n" ); document.write( ": \n" ); document.write( "now lets take c's value from eq 2 and a's value from eq 3 and plug them into eq 1 \n" ); document.write( ": \n" ); document.write( "((3b+7)/2)+b+(10b-11)=105 multiply all terms by 2 \n" ); document.write( ": \n" ); document.write( "3b+7+2b+20b-22=210---> now combine like terms \n" ); document.write( ": \n" ); document.write( "25b=225: \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "a,b,c........17,9,79 respectively\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |