document.write( "Question 636643: determine whether the equation defines y as a function of x 6x^2+7y^2=1. Does the equation define y as a function of x? \n" ); document.write( "
Algebra.Com's Answer #401181 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! determine whether the equation defines y as a function of x 6x^2+7y^2=1. Does the equation define y as a function of x \n" ); document.write( "** \n" ); document.write( "If y is a function of x, for each x there is only one value of y. \n" ); document.write( "Rewrite equation: \n" ); document.write( "7y^2=1-6x^2 \n" ); document.write( "y^2=(1-6x^2)/7 \n" ); document.write( "y^2=[(1-6x^2)/7] \n" ); document.write( "y=±√[(1-6x^2)/7] \n" ); document.write( "By inspection you can see that for each x, you will have two different values of y \n" ); document.write( "Therefore, y is not a function of x in this case.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |