Question

How do you solve for $y:$ $2x-3y=6$ ?

Answer 1

Hint:
For solving such types of questions, we should take all the other variables and values other than the required one on the other side of the equation and then solve for $y$.

Complete step by step solution:
As we know, to solve the question we will first take $x$ on the other side of the equation,
$2x-3y=6$
$\Rightarrow -3y=6-2x$
Now after dividing both sides of the equation by $-3$, we get
$y=\dfrac{6-2x}{-3}$
$\Rightarrow y=\dfrac{2x-6}{3}$

Now, to get the value of $y$ we simply need to know the value of $x$ and substitute it in the equation.

Note:
In these equations, when we are required to find the value of one of the variables we should simply try to focus on shifting all the other values to the other side of the equation, and then substitute the given values of variables to get our required variable.