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:
Step-by-step explanation:
The equation for solving for density is:
Density = mass / volume
Then plug in the values:
Density = 6 g / 12 mL
Divide and don't forget the units!
Density = 0.5 g/mL
The Answer Is C. 64, hope I helped
Answer:
D, -77 5/8
Step-by-step explanation:
6 3/4 = 27/4 = 6.75
6.75 x -11.5 = -77.625 or -77 5/8
To answer this, we need the original equation.