can any one solve this linear eqn, elimination method please?

Question

Given the coefficients of a pair of linear equations,

a1x+b1y=c1a2x+b2y=c2

Find the solutions to x
and y
inputs
2 3 7
4 -2 6
output
2 1

Answer 1

Dr Ashok Kumar M

To add to Per Bratthammar if you want to see your linear equation you can add

import matplotlib.pyplot as plt
to
import numpy as np

And observe your steps as they are displayed.

https://sololearn.com/compiler-playground/cHpuzwDO8Vut/?ref=app

Answer 2

# Hi, Dr Ashok Kumar M !

# You can do it yourself, or relatively simple use numpy,
# by using solve in linalg.

# To solve:
# 2x + 3y = 7
# 4x - 2y = 6

# Assume AX = C,
# where A = [[2, 3], [4, -2]] and C = [7, 6]

import numpy as np
A = np.array([[2, 3], [4, -2]])
C = np.array([7, 6])
X = np.linalg.solve(A, C)

print(f"{X = }")
print(f"\t-> x = {X[0]}")
print(f"\t-> y = {X[1]}")

# Read more at:

# https://numpy.org/doc/stable/reference/generated/numpy.linalg.solve.html

Answer 3

2x+3y=7;
2x=7-3y;
x=(7-3y)/2;
If y=1 then x=2;

4x-2y=6;
4*2-2*1=6;