Er...I didn't need a rant...
I'm sorry to hear that somebody "ranted" at you. (That must have been a private message, since all that's been done publically is request clarification, so any suggestions and helps will be correct. Please contact the Admin about whatever message you received. Thanks!)
I suppose I'll need a lesson in both of these....
To learn how to solve literal equations (that is, equations with more than one variable, and you're solving for a stipulated variable, such as
, in this case), try this lesson
. (But from the work you've shown, I don't think you are having any difficulty with the topic. It's a possibly poorly-written assignment which is the problem.)
Since they've given you no relationship between
and any of
, I don't see how you can proceed to the answer they seem to want
Here's what I got for the first one....
bcx = abc - acy - abz <-- Then, I pulled out a, in reverse distribution. . .<== Excellent!
Excellent! That's the step that most students miss!
...so my answer was
bcx/(bc - cy - bz) = a
That solves the literal equation for
, but you need to solve it for
. Unless your instructor typoed the instructions, what you've done, though completely correct and very-well documented, cannot be the expected answer. Same thing for the second exercise: your work is great, and I get the same answer for "
", but your instructor asked you for "
". I have no idea what you're supposed to do next.