Solutions to systems of equations: consistent vs. inconsistent (video) | Khan Academy
Which of the following equations represents the relationship between x and y shown in the table above? Incorrect. 45%. Omitted 1%. Note: • These results are for public and students are expected to show knowledge of simple patterns and. 1) Which of the following equations shows an incorrect relationship between 5) The reaction of mL of Cl2 gas with mL of CH4 gas via the equation. 2) Which of the following equations shows an incorrect relationship between 4) In ideal gas equation calculations, expressing pressure in Pascals (Pa).
And an inconsistent system of equations, as you can imagine, has no solutions. So if we think about it graphically, what would the graph of a consistent system look like?
Let me just draw a really rough graph. So that's my x-axis, and that is my y-axis. So if I have just two different lines that intersect, that would be consistent. So that's one line, and then that's another line. They clearly have that one solution where they both intersect, so that would be a consistent system. Another consistent system would be if they're the same line, because then they would intersect at a ton of points, actually at an infinite number of points. So let's say one of the lines looks like that.
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And then the other line is actually the exact same line. So it's exactly right on top of it. So those two intersect at every point along those lines, so that also would be consistent.
An inconsistent system would have no solutions. So let me again draw my axes.
Let me once again draw my axes. It will have no solutions.
And so the only way that you're going to have two lines in two dimensions have no solutions is if they don't intersect, or if they are parallel. So one line could look like this. And then the other line would have the same slope, but it would be shifted over.
It would have a different y-intercept, so it would look like this. So that's what an inconsistent system would look like.
You have parallel lines. This right here is inconsistent. So what we could do is just do a rough graph of both of these lines and see if they intersect.
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Another way to do it is, you could look at the slope. And if they have the same slope and different y-intercepts, then you'd also have an inconsistent system. But let's just graph them. So let me draw my x-axis and let me draw my y-axis.
So this is x and then this is y. And then there's a couple of ways we could do it.
The easiest way is really just find two points on each of these that satisfy each of these equations, and that's enough to define a line. Equal volumes of gases at the same temperature and pressure contain the same number of molecules. The volume of gas at a given temperature and pressure is directly proportional to the number of moles of gas.
In a gas mixture the total pressure is given by the sum of partial pressures of each component: Practice Problems Review the properties of gases!
How do they differ from liquids and solids? A sample weighing 9. A B Assume the initial pressure in the flask was 0. The same amount of an unknown gas, under the same conditions, effused through the pinhole in s.
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