document.write( "Question 7926: Solve each system by the substitution method. Determine whether the equations are independent, dependent, or inconsistent.\r
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document.write( "29.) 2x + y = 9
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document.write( " 2x – 5y = 15\r
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document.write( "The books answer is this what I don't understand is how the book came out with this answer. Can you help me solve this please? \r
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document.write( "{(5, -1)}, independent\r
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document.write( "Thank you-
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document.write( "
Algebra.Com's Answer #4350 by longjonsilver(2297)![]() ![]() You can put this solution on YOUR website! substitution method...\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "eqn1 can be rewritten as 2x = 9-y. Now put this into the second equation as:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "9-y - 5y = 15 and now simplfy \n" ); document.write( "9 - 6y = 15 \n" ); document.write( "-6y = 6 \n" ); document.write( "y = 6/-6\r \n" ); document.write( "\n" ); document.write( "--> y = -1\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "sub this back into 2x = 9-y\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2x = 9-(-1) \n" ); document.write( "2x = 9+1 \n" ); document.write( "2x = 10 \n" ); document.write( "x = 10/2\r \n" ); document.write( "\n" ); document.write( "--> x = 5\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "jon. \n" ); document.write( " \n" ); document.write( " |