Question

The point (0, 2) is the only solution to the system of linear equations that contains the equations

y = 1/2 x + 2 and y = -3x + 2. Choose the term that describes the set of equations.

dependent equations
independent equations
inconsistent equations
cannot be determined

Answer 1

independent equations

The slopes (1/2 and -3) are different, so the lines intersect at exactly one point (0, 2), giving a unique solution.