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)\"\" \"About 
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( "
\n" );