document.write( "Question 827401: John made 3 more free throws than Jose. The combined total of the number of free throws they made is 25. How many free throws did each boy make? \n" ); document.write( "

Algebra.Com's Answer #498660 by TimothyLamb(4379) $\"\"$ $\"About$

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\n" ); document.write( "x = john's free throws
\n" ); document.write( "y = jose's free throws
\n" ); document.write( "---
\n" ); document.write( "x = y + 3
\n" ); document.write( "x + y = 25
\n" ); document.write( "---
\n" ); document.write( "put the system of linear equations into standard form:
\n" ); document.write( "---
\n" ); document.write( "x - y = 3
\n" ); document.write( "x + y = 25
\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 = john's free throws = 14
\n" ); document.write( "y = jose's free throws = 11
\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 \n" ); document.write( "

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