document.write( "Question 1053265: At the same store, Leigh bought 2 pairs of pants and 5 shirts for $61, and Jessica bought 3 pairs of pants and 2 shirts for $64. How much does 1 pair of pants cost? \n" ); document.write( "
Algebra.Com's Answer #668535 by addingup(3677)![]() ![]() You can put this solution on YOUR website! 2x+5y = 61 Multiply both sides time 3 to create a new equation \n" ); document.write( "3x+2y = 64 Multiply both sides times 2 to create a new equation \n" ); document.write( "Create the new equations and subtract one from the other, like this: \n" ); document.write( "6x+15y = 183 \n" ); document.write( "- \n" ); document.write( "6x+4y = 128 \n" ); document.write( "-------------- \n" ); document.write( "0x+11y = 55 Here 0x means 0, so eliminate it \n" ); document.write( "11y = 55 \n" ); document.write( "y = 55/11 = 5 each shirt is 5 \n" ); document.write( "2x+5(5) = 61 \n" ); document.write( "2x+25 = 61 \n" ); document.write( "2x = 36 \n" ); document.write( "x = 36/2 = 18 each pair of pants is 18 \n" ); document.write( "---------------------------------- \n" ); document.write( "Check: Put these results in the original equations: \n" ); document.write( "2x+5y = 61 \n" ); document.write( "2(18)+5(5) = 61 \n" ); document.write( "36+25 = 61 Correct \n" ); document.write( "Next: \n" ); document.write( "3x+2y = 64 \n" ); document.write( "3(18)+2(5) = 64 \n" ); document.write( "54+10 = 64 Also correct \n" ); document.write( ": \n" ); document.write( "John \n" ); document.write( " \n" ); document.write( " |