Q:

Graph the system of equations. then determine wheather the system has no solution, one solution, or infinitely many solutions. If the systems has one solution, name it.y= -x + 5y= x - 3A. one solution; (1,4)B. infinitely manyC. no solutionD. one solution; (4, 1)

Accepted Solution

A:
Answer:See below in bold.Step-by-step explanation:If we add the 2 equations  we eliminate x  and we get 2y =2.So y = 1.Substituting y = 1 in the second equation 1 = x - 3.So x = 4.A. One solution: (4, 1).If we drew a graph we would have 2 lines which intersect at the point (4, 1).