Answer to Question #306943 in Algebra for Sinawo

Question

Hence, write down the equation with y as the subject (in terms of x). The value of m and q must be indicated

Answer 1

Solution

Consider the equation,

$4x^ny - 2y -x^m=0$

Here, $m$ and $n$ are constants.

To make the $y$ the subject and write in terms of "$x$", we proceed as follows.

$4x^ny - 2y -x^m=0$

$4x^ny - 2y=x^m$

$y(4x^n - 2) =x^m$

$y =\frac{x^m}{4x^n - 2}$

$y(x) =\frac{x^m}{4x^n - 2}$

Hence "$y$", in terms of "$x$ " is

${\color{Blue} y(x) =\frac{x^m}{4x^n - 2}\\}$