Question

If a pair of linear equations is consistent with a unique solution, then the lines representing them are ______.

Answer 1

If a pair of linear equations is consistent with a unique solution, then the lines representing them are intersecting.

Explanation:

A pair of linear equations has a unique solution exactly when the ratios of their coefficients satisfy `a_1/a_2 ≠ b_1/b_2`, which means the lines have different slopes and therefore cross at one point (they intersect).