Subjects algebra

Linear Equations 4E8E70

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1. **State the problems:** Solve the equations: b) $y - 3 = 5$ d) $\frac{c}{3} = 2$ f) $5u = -20$ h) $-7w + 2 = -3$ 2. **Solve b) $y - 3 = 5$** Add 3 to both sides to isolate $y$: $$y - 3 + 3 = 5 + 3$$ $$y = 8$$ 3. **Solve d) $\frac{c}{3} = 2$** Multiply both sides by 3 to solve for $c$: $$\cancel{3} \times \frac{c}{\cancel{3}} = 2 \times 3$$ $$c = 6$$ 4. **Solve f) $5u = -20$** Divide both sides by 5: $$\frac{\cancel{5}u}{\cancel{5}} = \frac{-20}{5}$$ $$u = -4$$ 5. **Solve h) $-7w + 2 = -3$** Subtract 2 from both sides: $$-7w + 2 - 2 = -3 - 2$$ $$-7w = -5$$ Divide both sides by $-7$: $$\frac{\cancel{-7}w}{\cancel{-7}} = \frac{-5}{-7}$$ $$w = \frac{5}{7}$$ **Final answers:** b) $y = 8$ d) $c = 6$ f) $u = -4$ h) $w = \frac{5}{7}$