Consider the system of equations as:

1) \(3X−Y=1\)

2) \(2X+3Y=8\)

Verify if ordered pair (1,2) is solution of (1) and (2).

Substitute \(X=1\) and \(Y=2\) in equation (1).

\(3(1)−2\underset{=}{?}1\)

\(3−2\underset{=}{?}1\)

\(1=1\) (True)

Hence, (1,2) satisfies the equation (1).

Substitute \(X=1\) and \(Y=2\) in equation (2).

\(2(1)+3(2)\underset{=}{?}8\)

\(2+6\underset{=}{?}18\)

\(8=8\) (True)

Hence, (1,2) satisfies the equation (2).

Hence, the ordered pair (1,2) is a solution to the given system of linear equations.