Question

If 14xz - 21yz = az(2x -by), where a and b are positive real numbers, what is the value of a+b?

Answer 1

The answer is 10. Hope this helps:)

Answer 2

For the left side, first distribute:

14xz - 21yz = 7z * (2x - 3y)

Now, put this back into the equation:

7z(2x - 3y) = az(2x - by)

As we can see, the 7 on the left side corresponds to the a on the right side. The 3 on the left side corresponds to the b on the right side. So, a = 7 and b = 3, and a + b = 7 + 3 = 10.

The answer is 10.