document.write( "Question 605056: Find the ordered pair which solves this system of equations: 2x-3y=11 and 4x+y=15 \n" ); document.write( "

Algebra.Com's Answer #381552 by mananth(16946) $\"\"$ $\"About$

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x Number of adult tickets
\n" ); document.write( "y Number of student tickets
\n" ); document.write( "Total attended
\n" ); document.write( "2 x -3 y = 11 .............1
\n" ); document.write( "
\n" ); document.write( "4 x + 1 y = 15 .............2
\n" ); document.write( "Eliminate y
\n" ); document.write( "multiply (1)by 1
\n" ); document.write( "Multiply (2) by 3
\n" ); document.write( "2 x -3 y = 11
\n" ); document.write( "12 x + 3 y = 45
\n" ); document.write( "Add the two equations
\n" ); document.write( "14 x = 56
\n" ); document.write( "/ 14
\n" ); document.write( "x = 4
\n" ); document.write( "plug value of x in (1)
\n" ); document.write( "2 x -3 y = 11
\n" ); document.write( "8 -3 y = 11
\n" ); document.write( " -3 y = 11 -8
\n" ); document.write( " -3 y = 3
\n" ); document.write( " y = -1
\n" ); document.write( "(4,-1) is the solution
\n" ); document.write( "m.ananth@hotmail.ca
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