The graph that represents this system of equations y + 2x = 3 and y + 2 = 3x is graph (a)
Which graph represents this system of equations?
From the question, we have the following parameters that can be used in our computation:
y + 2x = 3
y + 2 = 3x
Make y the subjects of the formulas
y = -2x + 3
y = 3x - 2
This means that the equations have the following features
- One positive slope and one negative slope
- y-intercepts at (0, 3) and (0, -2)
Subtract both equations
So, we have
5x - 5 = 0
x = 1
Recall that
y = 3x - 2
So, we have
y = 3(1) - 2
y = 1
This means that the lines of the equations intersect at (1, 1)
Using the above as a guide, we have the following:
The graph is the graph (a)