Final answer:
To solve for r in terms of x, s, and t, you multiply both sides of the given equation by x, subtract t, and then divide by 2, resulting in r = (sx - t) / 2.
Step-by-step explanation:
To find the value of r in terms of x, s, and t, we start with the given equation s = (2r + t) / x. To solve for r, we need to manipulate this equation algebraically.
First, we'll multiply both sides by x to get rid of the denominator on the right side:
Next, we isolate the term containing r on one side by subtracting t from both sides of the equation:
Finally, we divide by 2 to solve for r:
So, the value of r in terms of x, s, and t is (sx - t) / 2.