What is the solution to the above system of equations? 2x+5y=-4 4x-5y=22 A. (3,-2)B. (13/3, -24/3)C. (-2,3)D. (3,2/5)

Answer:   A. (3,-2)Step-by-step explanation:Solve by Substitution : // Solve equation [2] for the variable  x      [2]    4x = 5y + 22  [2]    x = 5y/4 + 11/2 // Plug this in for variable  x  in equation [1]   [1]    2•(5y/4+11/2) + 5y = -4   [1]    15y/2 = -15   [1]    15y = -30 // Solve equation [1] for the variable  y     [1]    15y = - 30     [1]   y = - 2  // By now we know this much :    x = 5y/4+11/2    y = -2 // Use the  y  value to solve for  x      x = (5/4)(-2)+11/2 = 3  Solution : {x,y} = {3,-2}