document.write( "Question 663545: Solve problems with two unknown\r
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document.write( "A telephone cable 98 meters in length is cut into two pieces. If one piece is 22 meters longer than the other, how long are the two pieces?\r
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document.write( "Thank you.. I want to learn this subject, so I need a clear explanation \n" );
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Algebra.Com's Answer #412833 by ReadingBoosters(3246)![]() ![]() ![]() You can put this solution on YOUR website! The 98 m cable is cut into two pieces: \n" ); document.write( "let \n" ); document.write( "x = longer piece \n" ); document.write( "y = shorter piece \n" ); document.write( "so \n" ); document.write( "x = y + 22 (it is 22 m longer) \n" ); document.write( "x+y = 98 (the total length) \n" ); document.write( "substitute x into the second equation \n" ); document.write( "(y+22) + y = 98 \n" ); document.write( "Combine y \n" ); document.write( "2y + 22 = 98 \n" ); document.write( "Subtract 22 from both sides to isolate y \n" ); document.write( "2y + 22 - 22 = 98 - 22 \n" ); document.write( "2y = 76 \n" ); document.write( "Divide both sides by 2 to solve for y \n" ); document.write( "y = 38 m is the length of the shorter piece \n" ); document.write( "If x = y+22, then x=38+22 = 60m is the length of the longer piece \n" ); document.write( "... \n" ); document.write( "Proof \n" ); document.write( "60 + 38 = 98\r \n" ); document.write( "\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( " |