Make $x$ the subject of
$8 x=v$
Answer (1)
Divide both sides of the equation by 8.
Simplify the equation to isolate x .
The equation becomes x = 8 v .
Therefore, x is the subject: x = 8 v
Explanation
Understanding the Problem We are given the equation 8 x = v and our goal is to isolate x on one side of the equation. This means we want to rewrite the equation in the form x = something .
Isolating x To isolate x , we need to undo the multiplication by 8. We can do this by dividing both sides of the equation by 8.
Solving for x Dividing both sides of 8 x = v by 8, we get: 8 8 x = 8 v Simplifying the left side, we have: x = 8 v
Final Answer Therefore, x is now the subject of the equation, and we have x = 8 v .
Examples
In physics, if you know the total distance v an object travels at a constant speed over 8 seconds, you can find the speed x by using the formula x = 8 v . For example, if a car travels v = 24 meters in 8 seconds, its speed is x = 8 24 = 3 meters per second. This simple algebraic manipulation is useful in various real-world scenarios involving rates and proportions.
