Answer: (1,-2)
Step-by-step explanation:
Given : the system of linear equations :-
![3x+y=1---------------(1)\\5x+y = 3---------------(2)](https://tex.z-dn.net/?f=3x%2By%3D1---------------%281%29%5C%5C5x%2By%20%3D%203---------------%282%29)
In order to find x and y , first we subtract equation (1) from equation (2) , we get
![2x=2](https://tex.z-dn.net/?f=2x%3D2)
Divide both sides by 2 , we get
![x=1](https://tex.z-dn.net/?f=x%3D1)
Substitute the value of x=1 in equation (1) , we get
![3(1)+y=1\\\\3+y=1](https://tex.z-dn.net/?f=3%281%29%2By%3D1%5C%5C%5C%5C3%2By%3D1)
Subtract 3 from both sides , we get
![y=-2](https://tex.z-dn.net/?f=y%3D-2)
Hence, the ordered pair (x, y) is a solution to given system of linear equations = (1,-2)
Thus , the correct answer is (1,-2) .