document.write( "Question 831967: four times a number minus twice another number is -16. the sum of the two numbers is -1. find the numbers? \n" ); document.write( "
Algebra.Com's Answer #501752 by JulietG(1812)![]() ![]() You can put this solution on YOUR website! Let A and B be the numbers. \n" ); document.write( "Here's what we're told: \n" ); document.write( "4A - 2B = -16 \n" ); document.write( "A + B = -1 \n" ); document.write( "In the first equation, divide each side by 2. \n" ); document.write( "2A - B = -8 \n" ); document.write( "Add B to each side \n" ); document.write( "2A = -8 + B \n" ); document.write( "Add 8 to each side \n" ); document.write( "2A + 8 = B \n" ); document.write( "Now substitute that value into the other equation. \n" ); document.write( "A + (2A+8) = -1 \n" ); document.write( "Add the As \n" ); document.write( "3A + 8 = -1 \n" ); document.write( "Subtract 8 from each side \n" ); document.write( "3A = -9 \n" ); document.write( "Divide each side by 3 \n" ); document.write( "A = -3 \n" ); document.write( "If A is -3, then B must be 2 (the sum of the two numbers is -1.) \n" ); document.write( ". \n" ); document.write( "Let's put it into the question to make certain: \n" ); document.write( "(4 * -3) - (2 * 2) = -16 \n" ); document.write( "-12 - 4 does indeed equal -16 \n" ); document.write( "Success! \n" ); document.write( " |