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salantis [7]
3 years ago
7

Solve the following simultaneous equations 2x+5y=0 and 3x-4y=23

Mathematics
1 answer:
Elodia [21]3 years ago
7 0

Answer:

x = 5, y = -2

Step-by-step explanation:

2x + 5y = 0 --- Equation 1

Equation 1×3: <u>6x</u> + 15y = 0 --- Equation 2

3x - 4y = 23 --- Equation 3

Equation 3×2: <u>6x</u> - 8y = 46 --- Equation 3

<em>We will be eliminating 6x from Equation 2. </em>

Equation 3-2: 6x - 8y - 6x - 15y = 46-0

-23y = 46

y = 46 ÷ -23

<u>y = -2 </u>

Substitute y = -2 into Equation 1:

2x + 5y = 0

2x + 5(-2) = 0

2x + (-10) = 0

2x - 10 = 0

2x = 10

x = 10 ÷ 2

<u>x = 5 </u>

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3 years ago
(with steps please) Find the inverse Laplace transform, f(t), of the function: 16/(s-4)^3
Stells [14]

Answer:  The required inverse transform of the given function is

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We have the following Laplace formula :

L\{t^ne^{at}\}=\dfrac{n!}{(s-a)^{n+1}}\\\\\\\Rightarrow L^{-1}\{\dfrac{1}{(s-a)^{n+1}}\}=\dfrac{t^ne^{at}}{n!}.

Therefore, we get

f(t)\\\\=L^{-1}\{\dfrac{16}{(s-4)^3}\}\\\\\\=16\times\dfrac{t^{3-1e^{4t}}}{(3-1)!}\\\\\\=\dfrac{16}{2}t^2e^{4t}\\\\\\=8t^2e^{4t}.

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6 0
3 years ago
What is the correct answer in the photo A. B. C. or .D please explain why
balu736 [363]

Answer:

I think its D)

Step-by-step explanation:

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Divide both sides by -3.

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I also use this app to convert equations to slope-intercept and it showed me this

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3 years ago
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Answer:

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120 books increased by 55%
DiKsa [7]
Simplest way to do this:
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6 0
3 years ago
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