document.write( "Question 828170: Find three consecutive integers such that the sum of the first and half the third is 16 more than the second. \n" ); document.write( "

Algebra.Com's Answer #499092 by TimothyLamb(4379) $\"\"$ $\"About$

You can put this solution on YOUR website!
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\n" ); document.write( "z = x + 2
\n" ); document.write( "y = x + 1
\n" ); document.write( "x + (1/2)z = y + 16
\n" ); document.write( "---
\n" ); document.write( "put the system of linear equations into standard form:
\n" ); document.write( "---
\n" ); document.write( "x - z = -2
\n" ); document.write( "x - y = -1
\n" ); document.write( "x - y + 0.5z = + 16
\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 = 32
\n" ); document.write( "y = 33
\n" ); document.write( "z = 34
\n" ); document.write( "---
\n" ); document.write( "system matrix
\n" ); document.write( "1 0 -1
\n" ); document.write( "1 -1 0
\n" ); document.write( "1 -1 0.5
\n" ); document.write( "---
\n" ); document.write( "inverse of system matrix
\n" ); document.write( "1 -2 2
\n" ); document.write( "1 -3 2
\n" ); document.write( "0 -2 2
\n" ); document.write( "---
\n" ); document.write( "determinant of system matrix = -0.5
\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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