Question

How do you solve $4x + 2y = 10$ for $y$ ?

Answer 1

Hint: Here they have asked to solve for $y$ and for that they have given an expression also. First, try to simplify the expression and make necessary changes so that you will end up with an expression for the term $y$.

Complete step by step answer:
Here in this question, they have given an expression which is $4x + 2y = 10$ and asked to solve for the term $y$. In order to do this first, we need to make some necessary changes in the given expression, to get the required expression for $y$.
The given expression is $4x + 2y = 10$ in which we need to solve for $y$ . So first try to bring only the $y$ term or values on one side and others on the other side. So to do that subtract both sides of the expression $4x + 2y = 10$ by $4x$ .
Therefore, we get
$4x + 2y - 4x = 10 - 4x$
As we can see in the above expression at the left-hand side we have $4x$ in common with opposite signs, which gets canceled or becomes zero. Hence we get
$2y = 10 - 4x$
In the above equation we have an equation for $2y$but they have asked for $y$, so to solve for $y$ divide the entire equation, that is both the left-hand side and the right-hand side of the equation $2y = 10 - 4x$ by $2$.
Therefore, we get
$\dfrac{2}{2}y = \dfrac{{10}}{2} - \dfrac{4}{2}x$
$ \Rightarrow y = 5 - 2x$.

Hence the equation for $y$ from the given expression $4x + 2y = 10$ is $y = 5 - 2x$.

Note:
In this type of question, simplification is very important, as we will be given the equation. If you make some necessary changes you will arrive at the required answer. So make sure you are good at simplification.