solve the following equation for z
x=1/25(22z-9w)
25x = 22z - 9w
25x+9w = 22z
(25+9w)/22 = z
X = 1/25 (22z – 9w)
X = 22z/25 – 9w/25
X + 9w/25 = (22z/25)
25(x + 9w/25) = 22z
25x + 9w = 22z
(25x + 9w) ÷ 22 = z
To solve the equation for z, we can begin by isolating the variable z on one side of the equation. Here's how:
Step 1: Distribute the 1/25 to the terms inside the parentheses:
x = 1/25 * (22z - 9w)
Simplifying the right side:
x = (22z/25) - (9w/25)
Step 2: Move the term (9w/25) to the other side by subtracting it from both sides of the equation:
x + (9w/25) = (22z/25)
Step 3: Multiply both sides of the equation by 25 to eliminate the fraction:
25 * (x + (9w/25)) = 25 * (22z/25)
Simplifying further, notice that the 25 cancels out on the left side:
25 * x + 9w = 22z
Step 4: Divide both sides of the equation by 22 to solve for z:
(25 * x + 9w) / 22 = z
Thus, the equation can be solved for z as:
z = (25x + 9w) / 22