1. **Solve for y in the equation:** $$y - 3 = - \frac{2}{5} (10x - 5)$$ Distribute the fraction: $$y - 3 = - \frac{2}{5} \times 10x + \frac{2}{5} \times 5$$ $$y - 3 = -4x + 2$$ Add 3 to both sides: $$y = -4x + 2 + 3$$ $$y = -4x + 5$$ 2. **Simplify into standard form:** $$(5x^2 - 4 + 6x) - (8x + 4x^2 + 1)$$ Distribute the minus sign: $$5x^2 - 4 + 6x - 8x - 4x^2 - 1$$ Combine like terms: $$5x^2 - 4x^2 + 6x - 8x - 4 - 1$$ $$x^2 - 2x - 5$$ 3. **Solve for F in the formula:** $$S = 4F - 24$$ Add 24 to both sides: $$S + 24 = 4F$$ Divide both sides by 4: $$F = \frac{S + 24}{4}$$ **Final answers:** 1. $$y = -4x + 5$$ 2. $$x^2 - 2x - 5$$ 3. $$F = \frac{S + 24}{4}$$