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# 11.30 (Algebra: solve linear equations) Write a function that solves the following
# system of linear equations:
# a00x + a01y = b0 x =b0a11 - b1a01 / a00a11 - a01a10
# a10x + a11y = b1 y =b1a00 - b0a10 / a00a11 - a01a10
# The function header is:
# def linearEquation(a, b):
# The function returns None if a00a11 - a01a10 is 0; otherwise, it returns the
# solution for x and y in a list. Write a test program that prompts the user to enter
# a00, a01, a10, a11, b0 and b1 and displays the result. If a00a11 - a01a10 is 0, report
# that The equation has no solution.
def main():
a, b, c, d, e, f = eval(input("Enter a00, a01, a10, a11, b0, b1: "))
A = [[a, b], [c, d]]
B = [e, f]
result = linearEquation(A, B)
if result == None:
print("The equation has no solution")
else:
print("x is", result[0], "and y is", result[1])
def linearEquation(a, b):
determinant = a[0][0] * a[1][1] - a[0][1] * a[1][0]
if determinant == 0:
return None
else:
result = []
x = (b[0] * a[1][1] - b[1] * a[0][1]) / determinant
y = (b[1] * a[0][0] - b[0] * a[1][0]) / determinant
result.append(x)
result.append(y)
return result
main()
