SOLUTION: If (a/b)=(c/d)= k , b,d ≠ 0 , prove that (a+c)/(b+d) = k

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson  -> Lesson -> SOLUTION: If (a/b)=(c/d)= k , b,d ≠ 0 , prove that (a+c)/(b+d) = k       Log On


   

Question 1207019: If (a/b)=(c/d)= k , b,d ≠ 0 , prove that (a+c)/(b+d) = k
Found 2 solutions by mccravyedwin, math_tutor2020:
Answer by mccravyedwin(407) About Me  (Show Source):
You can put this solution on YOUR website!
(a/b)=(c/d)= k , b,d ≠ 0 , prove that (a+c)/(b+d) = k

a%2Fb=c%2Fd

a%2Fc=b%2Fd

a%2Fc%2Bc%2Fc=b%2Fd%2Bd%2Fd

%28a%2Bc%29%2Fc=%28b%2Bd%29%2Fd

%28a%2Bc%29%2F%28b%2Bd%29=c%2Fd=k

Edwin

Answer by math_tutor2020(3817) About Me  (Show Source):
You can put this solution on YOUR website!

a/b = k
a = bk

c/d = k
c = dk

a+c = bk+dk
a+c = (b+d)k
(a+c)/(b+d) = k