document.write( "Question 823171: 1. x^2+y^2=16 y=-x^2-4 \r
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document.write( " 2. x^2-y^2=61 x^2-y^2=11 \r
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document.write( "The directions are solve the system of liner or non-linear equations but im not sure how \n" );
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Algebra.Com's Answer #495309 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! 1. x^2+y^2=16 y=-x^2-4 \n" ); document.write( "------- \n" ); document.write( "x^2 = y-4 \n" ); document.write( "Substitute for \"x^2\" and solve for \"y\": \n" ); document.write( "y-4 + y^2 = 16 \n" ); document.write( "----- \n" ); document.write( "y^2 + y - 20 = 0 \n" ); document.write( "Factor: \n" ); document.write( "(y+5)(y-4) = 0 \n" ); document.write( "y = -5 or y = 4 \n" ); document.write( "----- \n" ); document.write( "Solve for \"x\": \n" ); document.write( "x^2 = y-4 \n" ); document.write( "If y = -5, x^2 = -9 \n" ); document.write( "Therefore y = -5 is extraneous. \n" ); document.write( "--- \n" ); document.write( "If y = 4, x^2 = 4-4 = 0 \n" ); document.write( "Then x = 0 \n" ); document.write( "--- \n" ); document.write( "Solution:: (0,4) \n" ); document.write( "=================== \n" ); document.write( "2. \n" ); document.write( "x^2-y^2=61 \n" ); document.write( "x^2-y^2=11 \n" ); document.write( "---- \n" ); document.write( "Subtract to get: \n" ); document.write( "0 = 50 \n" ); document.write( "That is a contradiction. \n" ); document.write( "--- \n" ); document.write( "There are no solutions. \n" ); document.write( "============================ \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "=============== \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " |