document.write( "Question 103104: Solve each of the following systems by addition. If a unique solution does not exist, state
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document.write( "whether the system is inconsistent or dependent.\r
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document.write( "2x = 3y = 1
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document.write( "5x + 3y = 16 \n" );
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Algebra.Com's Answer #74958 by chitra(359)![]() ![]() You can put this solution on YOUR website! The given system of equations are: \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2x - 3y = 1\r \n" ); document.write( "\n" ); document.write( "5x + 3y = 16\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "To solve by adding, the equations can be written as:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "7x = 17 \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "By back substitution, we get: \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2(17/7) - 3y = 1\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "34/7 - 3y = 1\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "34/7 - 1 = 3y \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "27/7 = 3y \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "9/7 = y\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "thus the values...\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Hence the solution is unique\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |