document.write( "Question 697692: three pairs of jeans and six shirts cost $195. the cost of four pairs of jeans and five shirts is $215. what is the price of one pair of jeans and one shirt? \n" ); document.write( "
Algebra.Com's Answer #430957 by sofiyac(983)![]() ![]() You can put this solution on YOUR website! three pairs of jeans and six shirts cost $195. the cost of four pairs of jeans and five shirts is $215. what is the price of one pair of jeans and one shirt? \n" ); document.write( "let one pair of jeans cost x and one shirt cost y, then \n" ); document.write( "3x+6y=195 \n" ); document.write( "4x+5y=215 \n" ); document.write( "next we multiply first equation by -4 and second one by 3 and we get\r \n" ); document.write( "\n" ); document.write( "-12x-24y=-780 \n" ); document.write( "12x+15y=645 now add these questions and your x terms will cancel out (add to 0) \n" ); document.write( "----------- \n" ); document.write( "-9y=-135 divide both sides by -9 \n" ); document.write( "y=15 so one shirt is $15 now plug that into either of the original equations and solve for x, i'll use the first equation \n" ); document.write( "3x+6*15=195 \n" ); document.write( "3x+90=195 subtract 90 from each side \n" ); document.write( "3x=105 divide each side by 3 \n" ); document.write( "x=35 so pair of jeans is $35 \n" ); document.write( " |