document.write( "Question 1187572: {4x^2-y^2=-5
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document.write( "{8x^2+y^2=17
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Algebra.Com's Answer #818572 by ikleyn(52781)![]() ![]() You can put this solution on YOUR website! .\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Add the equations.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "As soon as you add them, the terms {-y^2} and {y^2} will cancel each other.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "You will get simple quadratic equation for x.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Solve it and get two answers/values for x.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Then substitute these values to any of the original equations.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "You will get a simple quadratic equation for y: it will give you two solutions for y.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Combine these solutions in pairs; be accurate with the signs of the values in pairs.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "You should have 4 pairs (if there is no degeneracy).\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "They determine 4 solutions/answers.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "This 4 solutions represent the intersection points of two curves, determined by the equations.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "You may report me about your progress . . . \r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |