document.write( "Question 395634: sove by substitution. indicate whether the system is independent, dependent or inconsistent.\r
\n" ); document.write( "\n" ); document.write( "2x - 3y = 12
\n" ); document.write( "3y - 2x = -12 \n" ); document.write( "

Algebra.Com's Answer #280749 by stanbon(75887) $\"\"$ $\"About$

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Solve by substitution. indicate whether the system is independent, dependent or inconsistent.
\n" ); document.write( "---
\n" ); document.write( "2x - 3y = 12
\n" ); document.write( "3y - 2x = -12
\n" ); document.write( "----
\n" ); document.write( "x = (12+3y)/2
\n" ); document.write( "----
\n" ); document.write( "Substitute for \"x\" and solve for \"y\":
\n" ); document.write( "3y - 2[(12+3y)/2] = -12
\n" ); document.write( "---
\n" ); document.write( "3y -(12+3y) = -12
\n" ); document.write( "--
\n" ); document.write( "3y-12-3y = -12
\n" ); document.write( "-12 = -12
\n" ); document.write( "0 = 0
\n" ); document.write( "----
\n" ); document.write( "The system is true for all Real Number values of y.
\n" ); document.write( "---
\n" ); document.write( "The system is dependent.
\n" ); document.write( "Each equation is a multiple of the other.
\n" ); document.write( "=============================================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "

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