document.write( "Question 278958: i need help solving system of linear equations and inequalities the word problems ... ok here we go.. A youth group and their leaders visited MAmmoth cave. 2 adults and 5 students in one van paid $77 for the tour. 2 adults and 7 students in the second van paid $95 for the same tour. Find the adult price and the student price of the tour. .............. ok thats the problem \n" ); document.write( "
Algebra.Com's Answer #202951 by dabanfield(803)![]() ![]() ![]() You can put this solution on YOUR website! i need help solving system of linear equations and inequalities the word problems ... ok here we go.. A youth group and their leaders visited MAmmoth cave. 2 adults and 5 students in one van paid $77 for the tour. 2 adults and 7 students in the second van paid $95 for the same tour. Find the adult price and the student price of the tour. .............. ok thats the problem \r \n" ); document.write( "\n" ); document.write( "Let x be the price of an adult ticket and y the price of a student ticket. Then we have:\r \n" ); document.write( "\n" ); document.write( "Van 1:\r \n" ); document.write( "\n" ); document.write( "1.) 2*x + 5*y = 77\r \n" ); document.write( "\n" ); document.write( "Van 2:\r \n" ); document.write( "\n" ); document.write( "2.) 2*x + 7*y = 95\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "If we subtract equation 2) from equation 1) we have:\r \n" ); document.write( "\n" ); document.write( "2*x - 2*x + 5*y - 7*y = 77 - 95\r \n" ); document.write( "\n" ); document.write( "-2*y = -18 \n" ); document.write( "y = 9\r \n" ); document.write( "\n" ); document.write( "Now you can calculate x by substituting 9 for y in either equation 1) or 2). \n" ); document.write( " |