document.write( "Question 663073: Two positive numbers have a difference of 1. The larger number is 4 less than 2 times the smaller number. What are the two numbers. I have no clue how to set this up and I need to help my daughter, who has a learning disability, understand her math. I would greatly appreciate it if someone could please set the problem up for me and possibly explain why the steps that are taken are done so I can explain it to her. \n" ); document.write( "
Algebra.Com's Answer #412603 by ReadingBoosters(3246)![]() ![]() ![]() You can put this solution on YOUR website! Start by defining your variables \n" ); document.write( "x = larger integer \n" ); document.write( "y = smaller integer \n" ); document.write( "... \n" ); document.write( "Difference is 1, so subtract them \n" ); document.write( "x-y = 1 \n" ); document.write( "... \n" ); document.write( "x is 4 less (minus) than 2 times (multiply by two) the smaller number, y \n" ); document.write( "x=2y-4 \n" ); document.write( "... \n" ); document.write( "Substitute x into the first equation \n" ); document.write( "(2y-4) - y =1 \n" ); document.write( "... \n" ); document.write( "Combine like terms \n" ); document.write( "2y - y -4 = 1 \n" ); document.write( "y - 4 = 1 \n" ); document.write( "Add 4 to both sides \n" ); document.write( "y = 5 \n" ); document.write( "... \n" ); document.write( "The small integer is 5 and the larger integer is \n" ); document.write( "x=2y-4 \n" ); document.write( "x=2(5)-4 = 10-4 = 6 \n" ); document.write( "The larger integer is 6 \n" ); document.write( "... \n" ); document.write( "Proof \n" ); document.write( "6 - 5 = 1 \n" ); document.write( "............................... \n" ); document.write( "Delighted to help. \n" ); document.write( "-Reading Boosters \n" ); document.write( "Wanting for others what we want for ourselves. \n" ); document.write( " |