Make $x$ the subject of $9x = u$
Answer (2)
To isolate x in the equation 9 x = u , divide both sides by 9, resulting in x = 9 u . This process helps express one variable in terms of another. Thus, x is the subject of the equation as shown in the final formula.
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Divide both sides of the equation by 9.
Simplify the equation to isolate x .
Express x in terms of u .
The final answer is x = 9 u .
Explanation
Understanding the Problem We are given the equation 9 x = u and our goal is to isolate x on one side of the equation, making x the subject.
Isolating x To isolate x , we need to perform an operation that undoes the multiplication by 9. The inverse operation of multiplication is division. Therefore, we will divide both sides of the equation by 9.
Solving for x Dividing both sides of the equation 9 x = u by 9, we get: 9 9 x = 9 u Simplifying the left side, we have: x = 9 u
Final Answer Therefore, x is now the subject of the formula, and we have expressed x in terms of u .
Examples
In physics, if you know the total distance u traveled by an object in a certain amount of time where the object was traveling at a constant speed 9, you can find the distance traveled in one unit of time, x , by making x the subject of the formula. For example, if a car travels u = 180 miles in a certain amount of time at a speed of 9 miles per hour, then the time taken is x = 9 180 = 20 hours.
