document.write( "Question 250702: The sum of two numbers is -64. Twice the first number is 1 more than the second. Find the two numbers
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Algebra.Com's Answer #184743 by drk(1908)![]() ![]() ![]() You can put this solution on YOUR website! Let X = first number and Y = second number. \n" ); document.write( "The sum of two numbers is -64 can be translated as \n" ); document.write( "(i) X + Y = -64 \n" ); document.write( "Twice the first number is 1 more than the second can be translated as \n" ); document.write( "(ii) 2X = Y + 1. \n" ); document.write( "We can use substitution to solve. Solve the (ii) for Y. We get \n" ); document.write( "(iii) Y = 2X - 1 \n" ); document.write( "Substitute (iii) into (i) to get \n" ); document.write( "(iv) X + 2X - 1 = -64 \n" ); document.write( "Solve for X. \n" ); document.write( "3X - 1 = -64 \n" ); document.write( "3X = -63 \n" ); document.write( "X = -21 \n" ); document.write( "Find Y. \n" ); document.write( "Y = -43. \n" ); document.write( " \n" ); document.write( " |