Subjects algebra

Linear Equation 590E29

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Linear Equation 590E29


1. **Stating the problem:** Solve the equation $$y - 2x + 3 = 0$$ for $y$. 2. **Formula and rules:** To solve for $y$, isolate $y$ on one side of the equation by adding or subtracting terms. 3. **Intermediate work:** Starting with the equation: $$y - 2x + 3 = 0$$ Add $2x$ to both sides: $$y + 3 = 2x$$ Subtract $3$ from both sides: $$y = 2x - 3$$ 4. **Explanation:** We rearranged the equation to express $y$ explicitly in terms of $x$. This is a linear equation representing a straight line. 5. **Final answer:** $$y = 2x - 3$$