Answer:
Therefore, the solution for x in terms of X and y is:
x = (X + 8y) / y
Explanation:
To solve for x in the equation X/y = x - 8, we need to isolate x on one side of the equation.
Step 1: Multiply both sides of the equation by y to eliminate the denominator on the left side:
X/y * y = (x - 8) * y
Simplifying, we have:
X = xy - 8y
Step 2: Add 8y to both sides of the equation to isolate the term with x:
X + 8y = xy
Step 3: Rearrange the terms to have x on one side:
xy = X + 8y
Step 4: Divide both sides of the equation by y to solve for x:
x = (X + 8y) / y