Answer: (1,2)
Explanation:
The given system of linear equations :-
which can be written as ,
![2x+y=4..........(1) \text{[Divide both sides by 2]}\\7y+x=15................(2)\text{[Add x on both sides]}](https://img.qammunity.org/2019/formulas/mathematics/middle-school/rcbsz2iz5py6gbamkv5a77fm6r18o6nhwe.png)
Now, Multiply 2 on both sides of equation (2), we get
![14y+2x=30.........(3)](https://img.qammunity.org/2019/formulas/mathematics/middle-school/r33xluwtnycjzp74ornxjzuxyfnt6fbapc.png)
Subtract equation (1) from equation (3) , we get
![13y=26\\\\\Rightarrow\ y=2](https://img.qammunity.org/2019/formulas/mathematics/middle-school/2wssgleg2b3av3y7qg5l0h91250ou4196t.png)
Put y= 2 in (1), we get
![2x+2=4\\\\\Rightarrow\ 2x=2\\\\\Rightarrow\ x=1](https://img.qammunity.org/2019/formulas/mathematics/middle-school/3js4x6co8rq7ebudgrfiogljrwc239bgki.png)
Hence, the solution to the given system is (1,2).