How many solutions does the system have?{ y = -2x + 4 { 7y = -14x + 28Choose 1 answer: A. Exactly one solution B. No solutionsC. Infinitely many solutions

Answer: {x,y} = {-2,2} Step-by-step explanation:Solve equation [2] for the variable  y       7y = 7x + 28   y = x + 4Plug this in for variable  y  in equation [1] -8x + 4•(x +4) = 24 -4x = 8Solve equation [1] for the variable  x   4x = - 8   x = - 2 By now we know this much :    x = -2    y = x+4Use the  x  value to solve for  y      y = (-2)+4 = 2 Solution : {x,y} = {-2,2} and this intersects at only one point so your answer is A