document.write( "Question 619347: if it cost $78.86 to buy 3 tickets in japan plus 2 tickets in switzerlan. 3 tickets in switzerland plus 2 tickets in japan cost $74.84. how much does an average movie ticket cost in each country? \n" ); document.write( "
Algebra.Com's Answer #389562 by sophxmai(62)![]() ![]() You can put this solution on YOUR website! x=Japan \n" ); document.write( "y=Switzerland\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "3x+2y=78.86 \n" ); document.write( "2x+3y=74.84 \n" ); document.write( "Find x and y\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Multiply each equation to cancel one of the variables out. \n" ); document.write( "3x+2y=78.86 x2 \n" ); document.write( "6x+4y=157.72\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2x+3y=74.84 x3 \n" ); document.write( "6x+9y=224.52\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Now the two equations have 6x, and if you subtract one from the other, you can cancel out one of the variables. \n" ); document.write( "6x+4y=157.72 \n" ); document.write( "6x+9y=224.52\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-5y=-66.8 \n" ); document.write( "y=-66.8/-5 \n" ); document.write( "y=13.36\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Now you have y, substitute y into an equation to find x. \n" ); document.write( "2x+3y=74.84 \n" ); document.write( "2x+3(13.36)=74.84 \n" ); document.write( "2x+40.08=74.84 \n" ); document.write( "2x=34.76 \n" ); document.write( "x=34.76/2 \n" ); document.write( "x=17.38\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So tickets in Japan cost $17.38 and tickets in Switzerland cost $13.36 \n" ); document.write( " |