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patriot [66]
3 years ago
13

3x - y = 2

Mathematics
2 answers:
artcher [175]3 years ago
8 0

Given.

3x - y = 2

Substitute x - 1 for variable y.

3x - x - 1 = 2 ← Resulting equation

Ivahew [28]3 years ago
6 0

Answer:

see explanation

Step-by-step explanation:

Given

3x - y = 2

Substitute y = x - 1 into the equation

3x - (x - 1) = 2

3x - x + 1 = 2 ← simplify left side

2x + 1 = 2 ← required equation after substitution

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Answer:

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Step-by-step explanation:

Using the characteristic equation you can express a differential equation of order n as an algebraic equation of degree n:

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So, given the differential equation:

-3y''-3y+3y=0

Which has characteristic equation of the form:

-3r^2-3r+3=0

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ar^2+br+c=0

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Disc=b^2-4ac

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ar^2+br+c=0

Has discriminant:

Disc=b^2-4ac

In this case:

a=1\\b=7\\c=5

So:

Disc=(7)^2-4(1)(5)=49-20=29

In this case:

Disc=29>0

Therefore the solution is over-damped.

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