Answer:
Option A.
Step-by-step explanation:
The given system of equations is
\(x+3y=7\) ... (1)
\(x-3y=1\) ...(2)
We need to solve the system of equations.
On adding equation (1) and (2), we get
\((x+3y)+(x-3y)=7+1\)
\(2x=8\)
Divide both sides by 2.
\(x=4\)
Substitute x=4 in equation (1).
\((4)+3y=7\)
\(3y=7-4\)
\(3y=3\)
Divide both sides by 3.
\(y=1\)
Since x=4 and y=1, therefore the correct option is A.