Questions: Solve for x. z = 5x - 9y

Solve for x. z = 5x - 9y
Transcript text: Solve for $x$. \[ z=5 x-9 y \]
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Solution

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Solution Steps

Step 1: Substitute Values

Substitute the given values \( z = 10 \) and \( y = 2 \) into the equation \( z = 5x - 9y \).

Step 2: Rearrange the Equation

Rearrange the equation to isolate \( x \): \[ 10 + 9(2) = 5x \]

Step 3: Simplify the Equation

Calculate \( 9(2) \) and simplify: \[ 10 + 18 = 5x \] This simplifies to: \[ 28 = 5x \]

Step 4: Solve for \( x \)

Divide both sides by 5 to solve for \( x \): \[ x = \frac{28}{5} \]

Final Answer

\(\boxed{x = \frac{28}{5}}\)

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