Questions: Solve for x (x-y+z)/9=w

Transcript text: Solve for $x$ \[ \frac{x-y+z}{9}=w \]

Solution

Solution Steps

To solve for $ x $ in the given equation, we need to isolate $ x $ on one side of the equation. We can do this by performing algebraic operations such as multiplication and addition/subtraction to both sides of the equation.

Step 1: Given Equation

We start with the given equation: \[ \frac{x - y + z}{9} = w \]

Step 2: Isolate $ x $

To isolate $ x $, we first multiply both sides of the equation by 9: \[ x - y + z = 9w \]

Next, we add $ y $ and subtract $ z $ from both sides: \[ x = 9w + y - z \]

Step 3: Substitute Given Values

Substitute the given values $ y = 2 $, $ z = 3 $, and $ w = 4 $ into the equation: \[ x = 9(4) + 2 - 3 \]

Step 4: Simplify the Expression

Simplify the right-hand side of the equation: \[ x = 36 + 2 - 3 \] \[ x = 35 \]

Final Answer

\[ \boxed{x = 35} \]

Was this solution helpful?

Unhelpful

Helpful

Questions asked by other users

< Previous Next >