Subjects algebra

Linear Equation 84Ff76

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1. **State the problem:** Solve the algebra problem given (no specific problem stated, so let's consider a general algebraic equation example: Solve for $x$ in $2x + 3 = 7$. 2. **Formula and rules:** To solve linear equations, use the rule: isolate the variable by performing inverse operations on both sides of the equation. 3. **Step 1:** Subtract 3 from both sides to isolate the term with $x$: $$2x + 3 - 3 = 7 - 3$$ $$2x = 4$$ 4. **Step 2:** Divide both sides by 2 to solve for $x$: $$\frac{\cancel{2}x}{\cancel{2}} = \frac{4}{2}$$ $$x = 2$$ 5. **Answer:** The solution to the equation $2x + 3 = 7$ is $x = 2$. This method applies to any linear equation: isolate the variable by undoing addition/subtraction, then undo multiplication/division.