### Solving Systems of Linear EquationsTwo systems of equations are given below. For each system, choose the best description of its solution. If applicable, give the solution.#### System A\[\begin{cases}-3x + y = 6 \\3x - y = 6\end{cases}\]Options:1. ⃝ The system has no solution.2. ⃝ The system has a unique solution: \[ (x, y) = \left[ \ \ , \ \ \right] \]3. ⃝ The system has infinitely many solutions. They must satisfy the following equation: \[ y = \left[ \ \ \right] \]#### System B\[\begin{cases}-4x + y = -4 \\4x - y = 4\end{cases}\]Options:1. ⃝ The system has no solution.2. ⃝ The system has a unique solution: \[ (x, y) = \left[ \ \ , \ \ \right] \]3. ⃝ The system has infinitely many solutions. They must satisfy the following equation: \[ y = \left[ \ \ \right] \]For each system, examine the provided equations, determine the nature of their solutions and provide the detailed steps to find the solutions.- If the lines represented by the equations are parallel but not coincident, the system has no solution.- If the lines intersect at a single point, the system has a unique solution.- If the lines are coincident, the system has infinitely many solutions, and we must provide the equation that represents the line.

We have to choose the correct solution

Two systems of equations are given below. For each system, choose the best description of its solution. If applicable, give the solution. System A -3x+y=6 3x-y=6 System B -4x+y=-4 4x−y=4 The system has no solution. The system has a unique solution: (x, y) = (₂0) The system has infinitely many solutions. They must satisfy the following equation: y = 0 The system has no solution. The system has a unique solution: (x, y) = (₂0) The system has infinitely many solutions. They must satisfy the following equation: y=