document.write( "Question 1071958: What is a+(a-2)=(a+3)-(a+1) \n" ); document.write( "
Algebra.Com's Answer #686855 by addingup(3677)![]() ![]() You can put this solution on YOUR website! a+(a-2)=(a+3)-(a+1) \n" ); document.write( "= a+a-2 = a+3-(a+1) \n" ); document.write( "= 2a-2 = a+3+((-1)a-1)Note: nothing changed here, the -1 stands for -a. When you multiply the -1 using the distributive properties of multiplication, your get: \n" ); document.write( "-1*a and -1*-1 = -1a and +1, or simply -a+1. Let's continue. Remove unnecessary parenthesis: \n" ); document.write( "= 2a-2 = a+3+(-1)a-1 Add 3 and -1 \n" ); document.write( "= 2a-2 = a+2+(-1)a Now a-1a = 0, let's rewrite: \n" ); document.write( "= 2a-2 = 2 \n" ); document.write( "= 2a-2-(-2) = 2-(-2) \n" ); document.write( "= 2a = 2+2 \n" ); document.write( "= 2a = 4 \n" ); document.write( "= a = 4/2 \n" ); document.write( "= a = 2 \n" ); document.write( "---------------------- \n" ); document.write( "Check, see if I got an equality: \n" ); document.write( "a+(a-2)=(a+3)-(a+1) \n" ); document.write( "2+(2-2) = (2+3)-(2+1) \n" ); document.write( "2 = 5-3; 2 = 2 Correct\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |