Subjects algebra

Solve Linear 9D5A6D

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1. **State the problem:** Solve the linear equation $67x - 36y = 18$ for $y$ in terms of $x$. 2. **Formula and rules:** To solve for $y$, isolate $y$ on one side of the equation. This involves moving terms and dividing by the coefficient of $y$. 3. **Isolate $y$:** $$67x - 36y = 18$$ Subtract $67x$ from both sides: $$-36y = 18 - 67x$$ 4. **Divide both sides by $-36$ to solve for $y$:** $$y = \frac{18 - 67x}{-36} = \frac{-18 + 67x}{36} = \frac{67x - 18}{36}$$ 5. **Final answer:** $$y = \frac{67x - 18}{36}$$ This expresses $y$ in terms of $x$ for the given linear equation.