Subjects algebra

Equation Solving Bd53D6

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1. The problem is to solve the equation given (though the exact equation is not specified, we assume a general approach to solving algebraic equations). 2. The general formula for solving linear equations is to isolate the variable on one side of the equation using inverse operations such as addition, subtraction, multiplication, and division. 3. Important rules: - Whatever operation you do to one side of the equation, you must do to the other side. - You can add or subtract the same number from both sides. - You can multiply or divide both sides by the same nonzero number. 4. Example: Solve for $x$ in the equation $2x + 3 = 7$. 5. Subtract 3 from both sides: $$2x + 3 - 3 = 7 - 3$$ $$2x = 4$$ 6. Divide both sides by 2: $$\frac{\cancel{2}x}{\cancel{2}} = \frac{4}{2}$$ $$x = 2$$ 7. The solution is $x = 2$. This method applies to any linear equation you need to solve by isolating the variable step-by-step.