true.

2 Line equations will have a unique solution if and only if they

intersect each other at a particular point ( x, y ). If Lines are

parallel, then they'll never intersect and hence we can not find any solution.

if we consider two parallel Lines of equations,say-

2x + 3y = 7 , 2x + 3y = 4 ( slope of both equation are same )

now, clearly these equation have no solution. So it is true that Asystem comprising two linear equations in two variables has a unique

solution if and only if the straight lines represented by the equations

are nonparallel