Make $r$ the subject of
$r+n=t$
Answer (2)
To isolate r in the equation r + n = t , we subtract n from both sides. The result is r = t − n . Hence, r is now the subject of the equation.
;
Start with the equation r + n = t .
Subtract n from both sides to isolate r : r + n − n = t − n .
Simplify to find r : r = t − n .
The final answer is r = t − n .
Explanation
Understanding the Problem We are given the equation r + n = t and our goal is to isolate r on one side of the equation. This means we want to rewrite the equation in the form r = something .
Isolating r To isolate r , we need to get rid of the n that's being added to it. We can do this by subtracting n from both sides of the equation. This maintains the equality of the equation.
The Result Subtracting n from both sides of the equation r + n = t gives us: r + n − n = t − n Simplifying the left side, we get: r = t − n So, r is now the subject of the equation.
Examples
In physics, if you know the total distance t an object has traveled and the distance n it traveled in the second part of its journey, you can use this formula to find the distance r it traveled in the first part. For example, if an object travels a total of 10 meters ( t = 10 ) and 3 meters in the second part ( n = 3 ), then it traveled 7 meters in the first part ( r = 10 − 3 = 7 ). This simple algebraic manipulation is fundamental in solving many real-world problems involving distances, speeds, and time.
