ryPythonHk002.py

'''
ryPythonHk002.py
解二元一次方程式002
'''

aMessage= '''
solve:
a x + b y = c
d x + e y = f
input:
a,b,c
d,e,f
solution:
x= ?
y= ?
'''

print(aMessage)


def f1_input():
    
    a= float(input('a=? '))
    b= float(input('b=? '))
    c= float(input('c=? '))
    d= float(input('d=? '))
    e= float(input('e=? '))
    f= float(input('f=? '))

    return a,b,c,d,e,f

a,b,c,d,e,f = f1_input()


def f2_solve(a,b,c,d,e,f):
    
    delta=  a*e-d*b
    deltaX= c*e-f*b
    deltaY= a*f-d*c

    x= deltaX/delta
    y= deltaY/delta

    return x,y

x,y = f2_solve(a,b,c,d,e,f)


print('the solution is ...')
print('x= ', x)
print('y= ', y)

# 驗算....
def f3_驗算(a,b,c,d,e,f,x,y):
    
    p1= (a*x+b*y == c)
    p2= (d*x+e*y == f)

    p= p1 and p2
    return p

p = f3_驗算(a,b,c,d,e,f,x,y)

print('驗算....')
print('p= ', p)