Question 1031153
The following equation has denominators that contain variables. for this equation write the value or values of the variable that make a denominator zero. these are the restrictions on the variable. keeping the restrictions in mind, solve the equation.
2/11x + 1/4 = 81/22x - 1/3 

My work for solving the equation is (2/11)x + 1/4 = (81/22)x - 1/3 
24 x + 33 = 486 x - 44 
77 = 462 x 
x = 77/462 
x = 7/42 
x = 1/6
<pre>You're ALMOST correct. {{{highlight_green(x = 6)}}}, not {{{1/6}}}, with {{{x <> 0}}}, as x = 0 makes the DENOMINATOR 0 (zero).

You have the equation backwards: Instead of 24x + 33 = 486x - 44. you should've had: 24 + 33x = 486 - 44x