Subjects algebra

Solve Fractions Ea3246

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1. **Problem Statement:** Solve the inequality $10 > 3.5$ and the equations: 1) $\frac{x}{5} = 0$ 2) $\frac{x + 1}{5} = \frac{4}{5}$ 3) $\frac{x - 1}{5} = -\frac{3}{5}$ 2. **Formulas and Rules:** - To solve $\frac{x}{5} = 0$, multiply both sides by 5. - To solve $\frac{x + 1}{5} = \frac{4}{5}$, multiply both sides by 5 to clear the denominator. - To solve $\frac{x - 1}{5} = -\frac{3}{5}$, multiply both sides by 5. 3. **Step-by-step Solutions:** 1) $10 > 3.5$ is true since 10 is greater than 3.5. 2) Solve $\frac{x}{5} = 0$: Multiply both sides by 5: $$x = 0 \times 5 = 0$$ 3) Solve $\frac{x + 1}{5} = \frac{4}{5}$: Multiply both sides by 5: $$x + 1 = 4$$ Subtract 1 from both sides: $$x = 4 - 1 = 3$$ 4) Solve $\frac{x - 1}{5} = -\frac{3}{5}$: Multiply both sides by 5: $$x - 1 = -3$$ Add 1 to both sides: $$x = -3 + 1 = -2$$ 4. **Final Answers:** - For $\frac{x}{5} = 0$, $x = 0$ - For $\frac{x + 1}{5} = \frac{4}{5}$, $x = 3$ - For $\frac{x - 1}{5} = -\frac{3}{5}$, $x = -2$