document.write( "Question 826992: The number of tickets Cynthia sold is 12 less the number Holly sold. Together they sold 114. How many tickets did Holly sell? \n" ); document.write( "
Algebra.Com's Answer #498390 by TimothyLamb(4379)\"\" \"About 
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\n" ); document.write( "x = Holly number of tickets
\n" ); document.write( "y = Cynthia number of tickets
\n" ); document.write( "---
\n" ); document.write( "y = x - 12
\n" ); document.write( "x + y = 114
\n" ); document.write( "---
\n" ); document.write( "put the system of linear equations into standard form:
\n" ); document.write( "---
\n" ); document.write( "x - y = 12
\n" ); document.write( "x + y = 114
\n" ); document.write( "---
\n" ); document.write( "copy and paste the above linear system in standard form into this matrix-method solver:
\n" ); document.write( "https://sooeet.com/math/system-of-linear-equations-solver.php
\n" ); document.write( "---
\n" ); document.write( "solution:
\n" ); document.write( "x = Holly number of tickets = 63
\n" ); document.write( "y = Cynthia number of tickets = 51
\n" ); document.write( "---
\n" ); document.write( "system matrix
\n" ); document.write( "1 -1
\n" ); document.write( "1 1
\n" ); document.write( "---
\n" ); document.write( "inverse of system matrix
\n" ); document.write( "0.5 0.5
\n" ); document.write( "-0.5 0.5
\n" ); document.write( "---
\n" ); document.write( "determinant of system matrix = 2
\n" ); document.write( "---
\n" ); document.write( "Solve and graph linear equations:
\n" ); document.write( "https://sooeet.com/math/linear-equation-solver.php
\n" ); document.write( "---
\n" ); document.write( "Solve quadratic equations, quadratic formula:
\n" ); document.write( "https://sooeet.com/math/quadratic-formula-solver.php
\n" ); document.write( "---
\n" ); document.write( "Solve systems of linear equations up to 6-equations 6-variables:
\n" ); document.write( "https://sooeet.com/math/system-of-linear-equations-solver.php
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