Answer:
(3,1) is the correct answer.
Step-by-step explanation:
It is given that <em>first line </em>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, <em>first equation </em>is:
It is given that <em>second line </em>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, <em>second equation </em>is:
<em>Solving equations</em> (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: <em>(3,1)</em>