b) \( \begin{array}{l}x+y=0.5 \\ x+2 y=0.5\end{array} \)

Solve the system of equations by following steps: - step0: Solve using the substitution method: \(\left\{ \begin{array}{l}x+y=0.5\\x+2y=0.5\end{array}\right.\) - step1: Solve the equation: \(\left\{ \begin{array}{l}x=0.5-y\\x+2y=0.5\end{array}\right.\) - step2: Substitute the value of \(x:\) \(0.5-y+2y=0.5\) - step3: Add the terms: \(0.5+y=0.5\) - step4: Move the constant to the right side: \(y=0.5-0.5\) - step5: Subtract the terms: \(y=0\) - step6: Substitute the value of \(y:\) \(x=0.5-0\) - step7: Substitute back: \(x=0.5\) - step8: Calculate: \(\left\{ \begin{array}{l}x=0.5\\y=0\end{array}\right.\) - step9: Check the solution: \(\left\{ \begin{array}{l}x=0.5\\y=0\end{array}\right.\) - step10: Rewrite: \(\left(x,y\right) = \left(0.5,0\right)\) Para resolver el sistema de ecuaciones: \[ \begin{array}{l} x + y = 0.5 \\ x + 2y = 0.5 \end{array} \] Podemos utilizar el método de eliminación o sustitución. Aquí, el resultado es: \[ (x,y) = (0.5, 0) \quad \text{o} \quad (x,y) = \left(\frac{1}{2}, 0\right) \] Esto significa que la solución del sistema es \( x = 0.5 \) y \( y = 0 \).