Answer:
(-2, -4)
Explanation:
To solve the system, we need to graph both equations. So, we will find two points for each line.
For y = 1/2x - 3
If x = 0
y = 1/2(0) - 3 = -3
If x = 2
y = 1/2(2) - 3
y = 1 - 3 = -2
For y = 3/2x - 1
If x = 0
y = 3/2(0) - 1 = -1
If x = 2
y = 3/2(2) - 1
y = 3 - 1 = 2
Therefore, we have the points (0, -3) and (2, -2) for the first equation and the points (0, -1) and (2, 2) for the second equation. Now, we can graph the lines as:
The lines intersect at (-2, -4), so the solution of the system is (-2, -4)
