document.write( "Question 163977: Can someone please help me with these.\r
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document.write( "2. Solve by substitution or elimination method:
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document.write( " 7x - 5y = 14
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document.write( " -4x + y = 27\r
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document.write( "3. Solve by substitution or elimination method:
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document.write( " -4x + 3y = 5
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document.write( " 12x - 9y = -15\r
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Algebra.Com's Answer #120865 by Alan3354(69443)![]() ![]() You can put this solution on YOUR website! Can someone please help me with these. \n" ); document.write( "2. Solve by substitution or elimination method: \n" ); document.write( "7x - 5y = 14 eqn 1 \n" ); document.write( "-4x + y = 27 eqn 2 \n" ); document.write( "--------------------------- \n" ); document.write( "y = 4x+27 (from eqn 2) \n" ); document.write( "Sub into eqn 1 \n" ); document.write( "7x - 5(4x+27) = 14 \n" ); document.write( "7x - 20x - 135 = 14 \n" ); document.write( "-13x = 149 \n" ); document.write( "x = -149/13 \n" ); document.write( "--------------- \n" ); document.write( "y = 4x+27 \n" ); document.write( "y = -596/13 + 27 = -596/13 + 351/13 \n" ); document.write( "y = -245/13 \n" ); document.write( "Sub to check: \n" ); document.write( "7*(-149/13) - 5*(-245/13) ?? 14 \n" ); document.write( "-1043/13 + 1225/13 ?? 14 \n" ); document.write( "182/13 is 14, so it checks. \n" ); document.write( "----------------------------- \n" ); document.write( "3. Solve by substitution or elimination method: \n" ); document.write( "-4x + 3y = 5 \n" ); document.write( "12x - 9y = -15 \n" ); document.write( "----------------------- \n" ); document.write( "Divide the 2nd eqn by -3 \n" ); document.write( "-4x + 3y = 5 \n" ); document.write( "That's the same as eqn 1, so there's no unique solution. It's a straight line, or an infinite number of solutions. \n" ); document.write( " \n" ); document.write( " |