If y(x-1)=z then X =
y(x-1) = z.
Divide both sides by y:
x - 1 = z/y,
X = (z/y) + 1.
To solve for x, we need to isolate it on one side of the equation. Let's go step-by-step:
Step 1: Start with the given equation: y(x-1) = z
Step 2: Distribute the y to both terms inside the parentheses: y*x - y*1 = z
Step 3: Simplify: y*x - y = z
Step 4: Add y to both sides of the equation to isolate the x term: y*x = z + y
Step 5: Divide both sides of the equation by y to solve for x: x = (z + y) / y
Therefore, x = (z + y) / y.
To isolate the variable x in the equation y(x-1) = z, we'll need to rearrange the equation step by step. Here's how:
1. Distribute the y to the terms inside the parentheses:
y(x-1) = z
xy - y = z
2. Move the -y term to the other side of the equation by adding y to both sides:
xy = z + y
3. Divide both sides of the equation by y to solve for x:
x = (z + y) / y
Therefore, the value of x is given by x = (z + y) / y.