Answer:
[tex]I=\frac{P}{V}[/tex]
Step-by-step explanation:
We are given the equation [tex]P=I*V[/tex], and we need to solve the equation for [tex]I[/tex]. Solving an equation for a variable means that we manipulate the equation so it is in the form (variable being solved for) = ?, where the ? is any expression.
To solve for [tex]I[/tex], we need to isolate the variable. This is the process of getting the equation into the form mentioned above by essentially getting all [tex]I[/tex] terms on one side and all [tex]\text non-I[/tex] terms on the other side.
In this case, we need to "get rid" of the [tex]V[/tex] from the right-hand side (RHS). Notice that it is being multiplied by the variable we are solving for. Therefore, to remove it from the RHS, we will need to perform the opposite operation, which is division. We will use what's called the Division Property of Equality to do this, which states that in order to maintain equality, you need to divide both sides of an equation by the same number.
Dividing both sides by [tex]V[/tex], we get:
[tex]P=I*V[/tex]
[tex]\frac{P}{V}=\frac{I*V}{V}[/tex]
[tex]\frac{P}{V} = I[/tex] (simplify RHS)
[tex]\bf I=\frac{P}{V}[/tex] (this uses the Symmetric Property of Equality - if a = b then b = a)
For more practice with solving literal equations, check out the following questions:
- https://brainly.com/question/24556416
- https://brainly.com/question/18262264
