Make $r$ the subject of $r+n=t$
Answer (2)
To make r the subject of the equation r + n = t , you rearrange it to r = t − n . This is done by subtracting n from both sides of the equation. The final form is r = t − n .
;
Start with the equation r + n = t .
Subtract n from both sides: r + n − n = t − n .
Simplify to isolate 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 term on the left side of the equation. We can do this by subtracting n from both sides of the equation. This maintains the equality.
Final Answer Subtracting n from both sides of 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 it traveled in the second segment of its journey ( n ), you can find the distance it traveled in the first segment ( r ) by rearranging the formula r + n = t to r = t − n . This is a simple application of making a variable the subject of the formula.
