Question

Solve each system of equations below by graphing, please use my graphy = 1/2x - 3y= 3/2x - 1

Answer 1

(-2, -4)

Step-by-step 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)