document.write( "Question 1057894: Find The Value Of X and Y
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document.write( "2(3+4i)-2(x-yi)=x+yi \n" );
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Algebra.Com's Answer #672885 by solve_for_x(190)![]() ![]() ![]() You can put this solution on YOUR website! Multiplying out the terms gives:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "6 + 8i - 2x + 2yi = x + yi\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Separating the real and imaginary parts of that equation gives the following two equations:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "6 - 2x = x\r \n" ); document.write( "\n" ); document.write( "8i + 2yi = yi\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Solving the first for x gives:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "3x = 6\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = 6/3\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = 2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Solving the second for y gives:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "8i + 2yi = yi\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "8i = yi - 2yi\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-yi = 8i\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "y = -8\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Solution: x = 2, y = -8\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |