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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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sp2606 [1]

Answer:

I am writing the function using Python. Let me know if you want the program in some other programming language.

def iterPower(base, exp):

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while exp > 0:

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Explanation:

The function name is iterPower which takes two parameters base and exp. base variable here is the number which is being multiplied and this number is multiplied exponential times which is specified in exp variable.
baseexp is a variable that stores the result and then returns the result of successive multiplication.
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1st iteration

baseexp = 1

exp>0 True because exp=2 which is greater than 0

baseexp = baseexp*base

= 1*3 = 3

So baseexp = 3

exp = exp - 1

= 2 - 1 = 1

exp = 1

2nd iteration

baseexp = 3

exp>0 True because exp=1 which is greater than 0

baseexp = baseexp*base

= 3*3 = 9

So baseexp = 9

exp = exp - 1

= 1-1 = 0

exp = 0

Here the loop will break now when it reaches third iteration because value of exp is 0 and the loop condition evaluates to false now.
return baseexp statement will return the value stored in baseexp which is 9
So the output of the above program is 9.

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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