S start a new one today. \[ \begin{array}{l}-3 x+3 y=9 \\ \text { Estimate the solution to the system of equations. } \\ \text { You can use the interactive graph below to find the solution. } \\ 2 x-7 y=-14 \\ \text { Choose } 1 \text { answer: } \\ \text { (A) } x=-1 \frac{2}{5}, y=1 \frac{3}{5} \\ \text { (B) } x=-2 \frac{2}{5}, y=1 \frac{3}{5} \\ \text { (C) } x=-1 \frac{2}{5}, y=2 \frac{3}{5} \\ \text { (D) } x=-2 \frac{2}{5}, y=2 \frac{3}{5}\end{array} \]

Let's solve the system of equations to find the solution: \[ \begin{cases} -3x + 3y = 9 \\ 2x - 7y = -14 \end{cases} \] **Step 1: Simplify the first equation.** Divide the first equation by 3: \[ -3x + 3y = 9 \quad \Rightarrow \quad -x + y = 3 \quad \Rightarrow \quad y = x + 3 \] **Step 2: Substitute \( y \) from the first equation into the second equation.** Replace \( y \) with \( x + 3 \) in the second equation: \[ 2x - 7(x + 3) = -14 \] **Step 3: Solve for \( x \).** \[ 2x - 7x - 21 = -14 \] \[ -5x - 21 = -14 \] \[ -5x = 7 \] \[ x = -\frac{7}{5} = -1 \frac{2}{5} \] **Step 4: Find \( y \) using the value of \( x \).** \[ y = x + 3 = -\frac{7}{5} + \frac{15}{5} = \frac{8}{5} = 1 \frac{3}{5} \] **Conclusion:** The solution to the system of equations is: \[ x = -1 \frac{2}{5}, \quad y = 1 \frac{3}{5} \] **Therefore, the correct answer is:** **(A) \( x = -1 \frac{2}{5},\ y = 1 \frac{3}{5} \)**