document.write( "Question 683813: A 6-yard fishing line is cut into two pieces, as shown in the image below, where a = 6. Four times the length of the shorter piece is two times the length of the longer piece. Find the length of each piece.
\n" );
document.write( "Also find the Equation to solve.\r
\n" );
document.write( "\n" );
document.write( "I am so lost. \n" );
document.write( "
Algebra.Com's Answer #423743 by ReadingBoosters(3246)![]() ![]() ![]() You can put this solution on YOUR website! The two pieces together are 6 yards, so \n" ); document.write( "x+y = 6 \n" ); document.write( "... \n" ); document.write( "let x be the longer piece and y be the shorter piece \n" ); document.write( "4y = 2x \n" ); document.write( "... \n" ); document.write( "Rearrange x+y=6 as x = 6-y and substitute into 4y=2x \n" ); document.write( "4y = 2(6-y) \n" ); document.write( "Distribute the 2 \n" ); document.write( "4y = 12 - 2y \n" ); document.write( "Add 2y to both sides \n" ); document.write( "4y + 2y = 12 \n" ); document.write( "6y = 12 \n" ); document.write( "Divide both sides by 6 \n" ); document.write( "y = 2 \n" ); document.write( "If y = 2, then x = 6-2 = 4 \n" ); document.write( "... \n" ); document.write( "Therefore, the length of the two pieces are 2 yds and 4 yds \n" ); document.write( ".............................. \n" ); document.write( "Have more questions? \n" ); document.write( "HomeworkHelpers@ReadingBoosters.com. \n" ); document.write( "Delighted to help! \n" ); document.write( "-Reading Boosters \n" ); document.write( "Website: www.MyHomeworkAnswers.com \n" ); document.write( " |