Question: eliminasi jika sama maka eliminasi \n\n11. Penyelesaian dari SPLDV ( $x + 2y = -1$ adala\n( $3x - y = 11$\na. $(3,2)$ c. $(-3,2)$\nb. $(2,3)$ d. $(3,-2)$\n\n12. himpunan Penyelesaian dari Sistem Persamaan\n$2x + 3y = 11$ dan $3x -2y = -3$ adalah\na. $(1,2)$ c. $(2,1)$\nb. $(1,3)$ D. $(3,1)$\n\nJawaban
1. **Stating the problem:** We need to solve the system of linear equations (SPLDV) given by:\n$$\begin{cases} x + 2y = -1 \\ 3x - y = 11 \end{cases}$$\n\n2. **Method:** We will use the elimination method to find the values of $x$ and $y$.\n\n3. **Step 1: Multiply the second equation to align coefficients of $y$ for elimination.**\nMultiply the second equation by 2 to match the coefficient of $y$ in the first equation:\n$$\begin{cases} x + 2y = -1 \\ 2(3x - y) = 2(11) \end{cases} \Rightarrow \begin{cases} x + 2y = -1 \\ 6x - 2y = 22 \end{cases}$$\n\n4. **Step 2: Add the two equations to eliminate $y$.**\n$$ (x + 2y) + (6x - 2y) = -1 + 22 $$\n$$ (x + 6x) + (2y - 2y) = 21 $$\n$$ 7x + \cancel{0} = 21 $$\n$$ 7x = 21 $$\n\n5. **Step 3: Solve for $x$.**\n$$ x = \frac{21}{7} = 3 $$\n\n6. **Step 4: Substitute $x=3$ into the first equation to find $y$.**\n$$ 3 + 2y = -1 $$\n$$ 2y = -1 - 3 = -4 $$\n$$ y = \frac{-4}{2} = -2 $$\n\n7. **Answer:** The solution to the system is $\boxed{(3, -2)}$.\n\nThis corresponds to option d. $(3,-2)$.