document.write( "Question 37395: r+3s=9
\n" ); document.write( "3r+2s=13\r
\n" ); document.write( "\n" ); document.write( "Use substitution method to solve system.
\n" ); document.write( "If its dependant or inconsistant, so indicate
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Algebra.Com's Answer #23042 by fractalier(6550)\"\" \"About 
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Okay, from
\n" ); document.write( "r + 3s = 9
\n" ); document.write( "3r + 2s = 13
\n" ); document.write( "we solve the first equation for r and substitute it into the second equation:
\n" ); document.write( "r = -3s + 9
\n" ); document.write( "3(-3s + 9) + 2s = 13
\n" ); document.write( "-9s + 27 + 2s = 13
\n" ); document.write( "-7s = -14
\n" ); document.write( "s = 2
\n" ); document.write( "Then since r = -3s + 9, we have
\n" ); document.write( "r = -3(2) + 9 = 3
\n" ); document.write( "Our solution is then (3, 2), a consistent system.
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