Match each system of equations to the diagram that represents its solution.

(1, A), (2, B), (3, D), (4, C)

Step-by-step explanation:

In the above answer pairs, we have numbered the systems of equations 1–4 from left to right, and the diagrams A–D from top to bottom.

The attachments show the row-reduction of the first three systems (1–3). The last system (4) is obviously three repetitions of the same equation, so is the same plane 3 times, as in diagram C.

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1. The last row of the reduced matrix has a non-zero element in the rightmost column, indicating there is no solution. The two non-zero rows indicate the system specifies planes that intersect in parallel lines. In a local area, the solution sort of matches diagram A in that one plane intersects the two others in parallel lines. Though the lines are parallel, the planes are not.

The last attachment shows a rendering of the first system of equations. Though the colors leave something to be desired, you can see that they intersect in a way that creates a triangular tunnel. No (x, y, z) value is found on all three planes.

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2. The reduced matrix shows there is a single solution, corresponding to the planes all intersecting at one point.

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3. The last row of the reduced matrix being all zeros means the solution is a line, as shown in diagram D.

the population of other specie of birds will decline or other specie of birds will find some alternate source of food to survive.

explanation:

according to the competitive exclusion principle, which is also known as gause's law, two specie living in the same niche and feeding on the same resource cannot co-exist stably.

as we have well studied the theory of natural selection which states that only those organisms survive which have better tendency to compete for food and adapt to the environmental conditions.

coming towards the question, what wi ll happen when one species outcompetes the other for the small fish , the other specie will not get enough food and will start to die or decline in population. eventually either other specie needs to find another alternative food source for itself or migrate at some other location where there is less competition otherwise it will just not exist anymore at that niche.

hope it !