Subjects algebra

Equation Solving 152Fe2

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1. The problem is to solve the equation given (though no explicit equation was provided, we assume a general approach to solving algebraic equations). 2. To solve an algebraic equation, we use the principle of isolating the variable on one side of the equation. 3. The general formula or rule is: perform the same operation on both sides of the equation to maintain equality. 4. Important rules: - You can add, subtract, multiply, or divide both sides by the same nonzero number. - When dividing, never divide by zero. 5. Example: Suppose the equation is $ax + b = c$. 6. Subtract $b$ from both sides: $$ax + b - b = c - b$$ $$ax = c - b$$ 7. Divide both sides by $a$ (assuming $a \neq 0$): $$\frac{\cancel{a}x}{\cancel{a}} = \frac{c - b}{a}$$ $$x = \frac{c - b}{a}$$ 8. This isolates $x$ and gives the solution. Since no specific equation was provided, this is the general method to solve linear equations. Final answer: $x = \frac{c - b}{a}$ if the equation is $ax + b = c$.