document.write( "Question 825223: For this question you have to solve each system by substitution\r
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\n" ); document.write( "\n" ); document.write( "5x+3y=-7
\n" ); document.write( "-3x+y=7 \n" ); document.write( "
Algebra.Com's Answer #497118 by TimothyLamb(4379)\"\" \"About 
You can put this solution on YOUR website!
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\n" ); document.write( "5x+3y=-7
\n" ); document.write( "-3x+y=7
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\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
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\n" ); document.write( "solution by matrix method:
\n" ); document.write( "x = -2
\n" ); document.write( "y = 1
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\n" ); document.write( "system matrix
\n" ); document.write( "5 3
\n" ); document.write( "-3 1
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\n" ); document.write( "inverse of system matrix
\n" ); document.write( "0.071428571 -0.21428571
\n" ); document.write( "0.21428571 0.35714286
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\n" ); document.write( "determinant of system matrix = 14
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\n" ); document.write( "now by substitution:
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\n" ); document.write( "-3x + y = 7
\n" ); document.write( "y = 3x + 7
\n" ); document.write( "---
\n" ); document.write( "5x + 3y = -7
\n" ); document.write( "5x + 3(3x + 7) = -7
\n" ); document.write( "5x + 9x + 21 = -7
\n" ); document.write( "14x = -28
\n" ); document.write( "---
\n" ); document.write( "x = -2
\n" ); document.write( "---
\n" ); document.write( "y = 3x + 7
\n" ); document.write( "y = 3(-2) + 7
\n" ); document.write( "---
\n" ); document.write( "y = 1
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\n" ); document.write( "solution by substitution:
\n" ); document.write( "x = -2
\n" ); document.write( "y = 1
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\n" ); document.write( "NOTE:
\n" ); document.write( "the solution by matrix method agrees with the solution by substitution.
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\n" ); document.write( "Solve and graph linear equations:
\n" ); document.write( "https://sooeet.com/math/linear-equation-solver.php
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\n" ); document.write( "Solve quadratic equations, quadratic formula:
\n" ); document.write( "https://sooeet.com/math/quadratic-formula-solver.php
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\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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