the addition of two numbers is 15 and their difference is 4.5. Write a program to find these numbers

import numpy as np

a = [[1,1],[1,-1]]

A = np. array (a)

B = np. array ([15, 4.5])

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

print (X)

Explanation:

In the above program, we have used the matrix method and the NumPy library to solve a simultaneous equation.

We know AX=B

or X = inverseA. B

inverse A is found using np. linalg. inv (matrix). and matrix multiplication by A. dot (matrix B)

We need to get A and B from a simultaneous equation. were A is the coefficient of X and Y and the B is the C like as ax + b = c. here a and b are coefficients and c is the constant. And this is given in both equation like

here, x + y = 15

and x - y = 4.5

and this gives as matrixes as used above in the program.