SOLUTION: The symbol $ is defined by: a$b = a^2-4b^2 if x $y =3(y$x), express y in terms of x.

Algebra.Com
Question 970538: The symbol $ is defined by: a$b = a^2-4b^2 if x $y =3(y$x), express y in terms of x.
Answer by Edwin McCravy(20059)   (Show Source): You can put this solution on YOUR website!
The symbol $ is defined by: a$b = a^2-4b^2 if x $y =3(y$x), express y in terms of x.


Involved in that equation are , , and .
We find those by substituting in 







So the given equation



becomes



We solve that for y in terms of x:








 




That's the solution, but you may rationalize the denominator if you like:







Edwin

RELATED QUESTIONS

If -2( x – 3 ) = 3( y + 5 ) – 10 , express y in terms of... (answered by jim_thompson5910)
express y in terms of x: a)log y= log x+2 b)ln y= ln 2-3 ln x c)log y= 2.5x... (answered by Nate)
The binary operation * is defined by x*y=xy-y-x for all real values of x and y. If... (answered by josgarithmetic)
If y=ax^2+bx+c, make x the subject if the formula, i.e. express x in terms of a, b, c and (answered by josgarithmetic)
If {{{x}}}{{{""=""}}}{{{y + sqrt(y^2+1)}}}, then express y in terms of x (answered by Edwin McCravy)
If y=ax^2+bx+c,make x the subject of the formula, i.e. express x in terms of a, b, c and... (answered by rothauserc)
If y=ax^2+bx+c, make x the subject of the formula, i.e. express x in terms of a, b, c... (answered by solver91311)
If y=ax^2+bx+c, make x the subject of the formula, i.e. express x in terms of a, b, c and (answered by swincher4391)
Given that x= {{{(y-2)/ (y-3) }}}, express y in terms of... (answered by josgarithmetic)