document.write( "Question 178669: Solve by substitution, which one is it, independent, inconsistent, or dependent. Please show how it is solved. Thank you.
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document.write( "x-y = 3
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document.write( "3x - 2y = 3\r
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document.write( "and\r
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document.write( "2x -y = 3
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document.write( "6x - 9 = 3y \n" );
document.write( "
Algebra.Com's Answer #133634 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Solve by substitution, which one is it, independent, inconsistent, or dependent. Please show how it is solved. Thank you. \n" ); document.write( "x-y = 3 \n" ); document.write( "3x - 2y = 3 \n" ); document.write( "------------------ \n" ); document.write( "x = y+3 \n" ); document.write( "Substitute to get: \n" ); document.write( "3(y+3) - 2y = 3 \n" ); document.write( "3y + 9 -2y = 3 \n" ); document.write( "y = -6 \n" ); document.write( "------------------ \n" ); document.write( "Then x = y+3 = -6+3 = -3 \n" ); document.write( "---- \n" ); document.write( "Since there is a single solution the system is independent. \n" ); document.write( "=======================================================================\r \n" ); document.write( "\n" ); document.write( "and \n" ); document.write( "2x -y = 3 \n" ); document.write( "6x - 9 = 3y \n" ); document.write( "-------- \n" ); document.write( "y = 2x-3 \n" ); document.write( "Substitute to get: \n" ); document.write( "6x -9 = 3(2x-3) \n" ); document.write( "6x -9 = 6x - 9 \n" ); document.write( "This is always true so the system is dependent \n" ); document.write( "==================================================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |