document.write( "Question 31741: Solve the nonlinear system of equations.
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document.write( "3x2 + y2 = 3
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document.write( "4x2 + 5y2 = 26\r
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document.write( "Thanks!!! \n" );
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Algebra.Com's Answer #18458 by ikdeep(226)![]() ![]() You can put this solution on YOUR website! 3x2 + y2 = 3 ..................(1) \n" ); document.write( "4x2 + 5y2 = 26..................(2)\r \n" ); document.write( "\n" ); document.write( "You can solve it by elimination method (equating the coefficient )\r \n" ); document.write( "\n" ); document.write( "To equate the coefficient of y^2,,,multiply (1) by 5 and we get... \n" ); document.write( "15x2 + 5y2 = 15 ..................(3)\r \n" ); document.write( "\n" ); document.write( "Subtract (2) from (3)..we get\r \n" ); document.write( "\n" ); document.write( "15x2 + 5y2 = 15 \n" ); document.write( "4x2 + 5y2 = 26 \n" ); document.write( "- - - \n" ); document.write( "------------------ \n" ); document.write( "11x2 = -11 (here 5y2 would be eliminated from both equation.)\r \n" ); document.write( "\n" ); document.write( "divide both sides by 11 and we get ...\r \n" ); document.write( "\n" ); document.write( "x2 = -1\r \n" ); document.write( "\n" ); document.write( "now put this value of x either in (1)or in(2),,you get the same value of y2 ,,here I am taking (1)...and we get \r \n" ); document.write( "\n" ); document.write( "3(-1) + y2 = 3\r \n" ); document.write( "\n" ); document.write( "opening brackets would give ...\r \n" ); document.write( "\n" ); document.write( "-3 + y2 = 3 \r \n" ); document.write( "\n" ); document.write( "add 3 on both sides and we get....\r \n" ); document.write( "\n" ); document.write( "y2 = 6 \r \n" ); document.write( "\n" ); document.write( "Now if you want to verify you answer ,,,you can put the values of x and y in any of the equation and if you get LHS = RHS,,,this means that you answer is correct..\r \n" ); document.write( "\n" ); document.write( "hope this will help you \r \n" ); document.write( "\n" ); document.write( "Please feel free to revert back for any further queries.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |