Answer:
(3,1) is the correct answer.
Explanation:
It is given that first line passes through (0,4) and (3,1)
Let the two points be at coordinates:
and


Equation of a line using two coordinates is given as:


Put x = 0, y = 4

So, first equation is:

It is given that second line passes through (0,-2) and (3,1)
Let the two points be at coordinates:
and


Equation of a line using two coordinates is given as:


Put x = 0, y = -2

So, second equation is:

Solving equations (1) and (2) using substitution:
Adding Equation (1) and (2):

Putting value y = 1 in equation (1):

So, the solution for the system of equations is: (3,1)