Is the equation independent, dependent, or inconsistant?

Question

2x - y = 4
2x - y = 3

Answer 1

Inconsistant.
Independant means you can find one pair of numbers that works in both equations. If you graph both equations you get a pair of lines that cross in one point, The coordinates of this point is the pair of numbers which works in both.
Dependant means that you can find an infinite number of pairs of numbers that work in both. If you graph both equations you get the same line, just drawn over itself. For example 2x - y = 4 and 4x - 2y = 8. They're really both the same line. You can recognise a dependant system because you can easily transform one equation into the other by simple algebra. In the example I just gave, the second equation is 2x the first.
Inconsistant means that there are no pairs of numbers that work in both. If you graph these equations you get parallel lines, which never cross in the conventional (Euclidean) plane. If you come up with two numbers such that 2x - y = 4, for example, x = 3 and y = 2, it is impossible for these same two numbers to work in the other equation, 2x - y = 3.
For more information and pictures to help you understand put linear systems independant dependant inconsistant in your search window. You'll turn up a lot of material, written on different levels and with different quality of explanations and graphics. Find one that helps you, and bookmark it, as it is probably linked to other pages that will help in related topics.

Answer 2

contained in the anatomical position, the face and palms are on the ANTERIOR body floor; the buttocks and shoulder blades are on the POSTERIOR body floor; and the proper of the proper is the most better helpful area of the body. The ears are MEDIAL and larger helpful to the shoulders and POSTERIOR to the nostril. the middle is MEDIAL to the vertebral backbone and medial to the lungs. The elbow is proximal to the palms yet distal to shoulder.The abdominopelvic hollow area is not very nearly as good because the thoracic hollow area and anterior to the spinal hollow area. In people, the dorsal floor is named the posterior floor; as in quadruped animals the dorsal floor is the posterior floor If an incision cuts the middle into proper and left aspects, the realm is a sagittal area; yet when the middle is reduce so as that better helpful and inferior parts result, the realm is a transverse area. you're advised to diminish a dissection animal alongside 2 planes so as that both kidneys are observable in each and each area. both sections which will continuously meet this requirement are the and sagital sections. a area that demonstrates the continuity between the spinal and cranial cavities is a sagittal area.

Answer 3

If they have the same slope they are parallel.
Slope =2 on both equations. This makes them inconsistant.

Answer 4

How many solutions are there that satisfy both equations? Best way is to graph them. If they are parallel, then they have no points in common and we call them inconsistent. these lines are indeed parallel.

Answer 5

inconsistent

Answer 6

inconsistant