document.write( "Question 880321: When the sum of twice the number and three is subtracted from 6, the result is equal to ten minus that number. Find the number.
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Algebra.Com's Answer #531360 by DrBeeee(684)![]() ![]() ![]() You can put this solution on YOUR website! Let n = the number. \n" ); document.write( "The problem statement reduces to the equation \n" ); document.write( "(1) 6 - (2n+3) = 10 -n \n" ); document.write( "Now solve for n \n" ); document.write( "(2) 6 - 2n - 3 = 10 - n or \n" ); document.write( "(3) 3 - 10 = 2n - n or \n" ); document.write( "(4) -7 = n or \n" ); document.write( "(5) n = -7 Check this using (1). \n" ); document.write( "Is (6-(2*(-7)+3) = 10 -(-7))? \n" ); document.write( "Is (6-(-14+3) = 10 + 7)? \n" ); document.write( "Is (6-(-11) = 17)? \n" ); document.write( "Is (6+11 = 17)? \n" ); document.write( "Is (17 = 17)? Yes \n" ); document.write( "Answer: the number is -7. \n" ); document.write( " |