2018 · Q8
If b/y + z/c = 1 and c/z + x/a = 1, then what is (ab + xy)/(bx) equal to?
Elementary MathematicsAlgebra
- A1
- B2
- C0
- D-1
Explanation
From the first equation, y/b = c/(c − z); from the second, a/x = z/(z − c) = −z/(c − z). Now (ab + xy)/(bx) splits as a/x + y/b = (c − z)/(c − z) = 1. The keyed answer is (A).