+23253 x/y = 5/7 y/z = 3/4 What is the value of (x + y)/z
Since (x + y)/z = x/z + y/z and we know the value of y/z we need to find the value of x/z.
Starting with x/y = 5/7
7x = 5y (cross multiplying)
y = 7x/5 (dividing)
Substituting into y/z = 3/4
(7x/5)/z = 3/4
7x/5z = 3/4
(7/5)(x/z) = 3/4
x/z = (3/4)(5/7)
x/z = 15/28
Therefore x/z + y/z = 15/28 + 3/4
x/z + y/z = 15/28 + 21/28
x/z + y/z = 36/28
Thus:: (x + y)/z = x/z + y/z = 36/28 = 18/14 = 9/7
