A system is inconsistent when there are no solutions between the two equations. Graphically, the lines will be parallel (they never meet!) and the slopes will be the same. But the y-intercepts will be different.
Let's look at the four equations, with each solved as needed, into y = mx + b form.
A: 2x + y = 5
y = 5 - 2x
y = -2x + 5
Compared to y = 2x + 5, the slopes are different, so this system won't be inconsistent. Not a good choice.
B: y = 2x + 5
Compared to y = 2x + 5, the slopes are the same and the y intercepts are the same. This system has infinitely many solutions. Not a good choice.
C: 2x - 4y = 10
-4y = 10 - 2x
-4y = -2x + 10
y = 2/4x -10/4
Here the slopes are different, so, like A this is not a good choice.
D: 2y - 4x = -10
2y = =10 + 4x
2y = 4x - 10
y = 2x - 5
Compared to y = 2x + 5 we have the same slopes and different y intercepts. The lines will be parallel and the system is inconsistent.
Thus, D is the best choice.
Answer:
15x+6
Step-by-step explanation:
$17.40
I'm not 100% sure on this answer, but I don't think anyone else will be answering.
Answer:
20
Step-by-step explanation:
<em>5+5+5+5</em>
Answer:
x-axis only.
Step-by-step explanation:
2x = 5y2 - 3
Convert to vertex form:
x = 5/2 y^2 - 3/2
This is a parabola with axis of symmetry y = 0. The vertex is at (-3/2, 0) and it opens to the right.
The axis of symmetry is the x-axis ( y = 0).
