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
inconsistent equations
independent equations
cannot be determined

Answer 1

both equations are solved for in terms of y so you can just set them equal to each other and solve for x

1/2x + 2 = -3x + 2

once you have x, plug x back into one of the original equations and solve for y

Answer 2

now, the question is asking about system classification

if you get exactly 1 solution (exactly one x and one y value) your classification is consistent + independent

if you get an infinite number of solutions (basically a system where any x and y value will satisfy the equations), your classification is consistent + dependent

if you get no solutions, your system is independent