document.write( "Question 1075985: I need help with this question: 4 time the number B is equal to the number A. The sum of 2 times A and two times B is 49. What is A and B? \n" ); document.write( "
Algebra.Com's Answer #690658 by addingup(3677)![]() ![]() You can put this solution on YOUR website! OK, this one by substitution: \n" ); document.write( "4B = A therefore B = A/4 \n" ); document.write( "2A+2B = 49 substitute for B: \n" ); document.write( "2A+2(A/4) = 49 distribute the 2 (Distributive Property of Multiplication) \n" ); document.write( "2A+A/2 = 49 multiply all sides times 2 \n" ); document.write( "4A+A = 98 \n" ); document.write( "5A = 98 \n" ); document.write( "A = 19.6 \n" ); document.write( "B = A/4 \n" ); document.write( "B = 19.6/4 = 4.9 \n" ); document.write( "------------------------ \n" ); document.write( "2A+2B = 49 \n" ); document.write( "2(19.6)+2(4.9)= 49 \n" ); document.write( "39.2+9.8 = 49 Correct\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |