If a linear system has more unknowns than equations, then the system can-not have a unique solution. True or False

Mathematics

1 answer:

Oduvanchick [21]4 years ago

5 0

Answer:

The statement is true.

Step-by-step explanation:

If a linear system has more unknowns than equations, then the system can-not have a unique solution. This is true.

When more unknowns are there than equations, then the system of polynomial equations is said to be under determined.

This means that if any solutions exist, it will not be unique.

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A kayaker can paddle 12 mi in 2 h moving with the river current. Paddling at the same pace, the trip back against takes 4 h. Ass

Firdavs [7]

Downstream DATA:
distance = 12 miles
time = 2 hours
rate = 12/2 = 6 mph
----------------
Upstream DATA:
distance = 12 miles
time = 4 hrs
rate = 12/4 = 3 mph
----
Equations:
Downstream: b + c = 6
Upstream::: b - c = 3
------
Add to get:
2b = 9
b = 4.5 mph (speed of the boat in still water.)
-----
Solve for "c":
b + c = 6
4.5 + c = 6
c = 1.5 mph (speed of the current)
The answer is 1.5 mph

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Step-by-step explanation:

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3 years ago

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