document.write( "Question 333277: three shirts and 2 pants cost $50. two shirts and 3 pants cost $80. what is the cost of one shirt and one pants? \n" ); document.write( "
Algebra.Com's Answer #238807 by mananth(16946)![]() ![]() You can put this solution on YOUR website! three shirts and 2 pants cost $50. \n" ); document.write( "two shirts and 3 pants cost $80. \n" ); document.write( ".. \n" ); document.write( "let shirt cost $x & pants cost $y \n" ); document.write( ".. \n" ); document.write( "3x+2y=50..............1 \n" ); document.write( "2x+3y=80..............2 \n" ); document.write( ".. \n" ); document.write( "multiply equation 1 by -2 & equation 2 by 3 to eliminate x \n" ); document.write( ".. \n" ); document.write( "-2(3x+2y)+3(2x+3y)= -2*50+3*80 \n" ); document.write( "-6x-4y+6x+9y=-100+240 \n" ); document.write( "+5y=140 \n" ); document.write( "y=$28 cost of pants \n" ); document.write( "plug value of y in equation 1 \n" ); document.write( "3x+2y=50 \n" ); document.write( "3x+2*28=50 \n" ); document.write( "3x+56=50 \n" ); document.write( "3x=-6 \n" ); document.write( "x=-2 . \n" ); document.write( "X cannot be negative . \n" ); document.write( "However cost of 1 Pant and 1 shirt = $26 ( mathematically) \n" ); document.write( " |