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3 years ago

How can you solve real world mathematical problems using two linear equations in two variables

Computers and Technology

1 answer:

ipn [44]3 years ago

3 0

Answer:

import numpy as np

a = int(input ("Enter a"))

b = int(input ("Enter b"))

c = int(input ("Enter c"))

d = int(input ("Enter d"))

c1 = int(input ("Enter c1"))

c2 = int(input ("Enter c2"))

array1 =[[a, b],[c, d]]

A = np.array (array1)

B = np.array ([c1, c2])

X = np.linalg.inv (A).dot (B)

print (X)

Explanation:

let ax + by =c1

cx + dy =c2

We have used the above NumPy library that has the methods for matrix calculation, and here we have used matrix multiplication, and the inverse of a matrix to find the value of x and y.

We know AX=B

X = inv A. B

And this we have used above. We can calculate inv A and do matrix multiplication using NumPy. And thus we get the above solution.

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3 years ago

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Answer:

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from math import pi

def circleArea(radius):

if radius > 0:

return pi * (radius ** 2)

else:

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if __name__ == '__main__':

radius = 5

print("Radius: {} Area: {}".format(radius,circleArea(radius)))

Explanation:

A detailed explanation of each line of code is given below.

#Define the number pi used to calculate the area

from math import pi

#We define a function that calculates the area of a circle

def circleArea(radius):

#Check if the radius is valid ( radius > 0) since there aren´t negative radius

if radius > 0:

#Compute the area formula for a circle $\pi * radius^{2}$

return pi * (radius ** 2)

else:

#Return None if the radius is invalid

return None

#Run the function we´ve defined

if __name__ == '__main__':

#Define a radius

radius = 5

#Call the function and parse the radius through it, then print the result

print("Radius: {} Area: {}".format(radius,circleArea(radius)))

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3 years ago

How can you solve real world mathematical problems using two linear equations in two variables​

How can you solve real world mathematical problems using two linear equations in two variables