Question

How many solutions does the following system have?

y = (3/2)x - 2
y = (3/2)x + 2
a) No solution
b) One solution
c) Infinite solutions
d) Two solutions

Answer 1

The given system of equations has no solution.

Step-by-step explanation:

The given system of equations is:

y = (3/2)x - 2

y = (3/2)x + 2

To determine the number of solutions, we need to compare the slopes and y-intercepts of the two equations.

Both equations have the same slope of 3/2, indicating that the lines are parallel. Since parallel lines do not intersect, the system has No solution (a).