1. The problem is to understand the Singapore MOE method for solving linear systems (LS) clearly. 2. The Singapore MOE method often uses a step-by-step approach to solve linear equations or systems by substitution, elimination, or matrix methods. 3. For example, consider solving the system: $$\begin{cases} 2x + 3y = 6 \\ x - y = 1 \end{cases}$$ 4. Step 1: Solve one equation for one variable. From the second equation, solve for $x$: $$x = y + 1$$ 5. Step 2: Substitute $x = y + 1$ into the first equation: $$2(y + 1) + 3y = 6$$ 6. Step 3: Simplify and solve for $y$: $$2y + 2 + 3y = 6$$ $$5y + 2 = 6$$ $$5y = 4$$ $$y = \frac{4}{5}$$ 7. Step 4: Substitute $y = \frac{4}{5}$ back into $x = y + 1$: $$x = \frac{4}{5} + 1 = \frac{9}{5}$$ 8. Final answer: $x = \frac{9}{5}$, $y = \frac{4}{5}$. This method emphasizes clear substitution and stepwise simplification to avoid errors.