document.write( "Question 37398: 2a=3b-13
\n" ); document.write( "b=2a+7\r
\n" ); document.write( "\n" ); document.write( "Use substitution method to solve system .
\n" ); document.write( "If system is dependant or inconsistant so indicate.
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Algebra.Com's Answer #23044 by fractalier(6550)\"\" \"About 
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From
\n" ); document.write( "2a = 3b - 13
\n" ); document.write( "b = 2a + 7
\n" ); document.write( "let us take the given value for b in the second equation and substitute it into the first equation, like this
\n" ); document.write( "2a = 3(2a + 7) - 13
\n" ); document.write( "2a = 6a + 21 - 13
\n" ); document.write( "2a = 6a + 8
\n" ); document.write( "-4a = 8
\n" ); document.write( "a = -2
\n" ); document.write( "Now using b = 2a + 7 we have
\n" ); document.write( "b = 2(-2) + 7
\n" ); document.write( "b = -4 + 7 = 3
\n" ); document.write( "So our solution is (-2, 3) and is a consistent system.
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