Two systems of equations are given below For each system cho

Two systems of equations are given below. For each system, choose the best description of its solution. If applicable, give the solution. -x - 2y = 8 The system has no solution. The system has a unique solution: The system has infinitely many solutions. They must satisfy the following equation: y = x + 5y = 5 -x - 5y = -5 The system has no solution. The system has a unique solution: The system has infinitely many solutions. They must satisfy the following equation:

Solution

Dear Student Thank you for using Chegg !! Equation 1 -x - 2y = 8 Equation 2 x + 2y = 8 General equation ax + by = c Comparing Coefficient a1 / a2 = b1 / b2 = c1/c2 (If all coeffiecients equal then infinite solution If all coefficient ratios different, then unique solution a1/a2 = b1/b2 Not equal c1/c2 => No Solution For given set of equations a1/a2 b1/b2 c1/c2 -1/1 -2/2 8/8 => No Solution b) x + 5y = 5 -x - 5y = -5 a1/a2 b1/b2 c1/c2 1/-1 5/-5 5/-5 => Infinitely many solution Solution