Question

If a−b/a−b​ is equal to a−b/c−a​, what can be inferred?

a) a=b
b) b=c
c) a=c
d) a≠b≠c

Answer 1

To solve the equation a-b/a-b = a-b/c-a, we need to simplify both sides and compare the resulting expressions. So the correct answer is (d) a≠b≠c.

Step-by-step explanation:

To solve this equation, we need to simplify both sides and compare the resulting expressions. We have:

a-b/a-b = a-b/c-a

Now, let's simplify each side separately:

On the left side, the a-b terms cancel out, leaving us with 1.

On the right side, we have a-b divided by c-a. If we flip the numerator and denominator, we get (c-a)/(a-b).

Therefore, the equation becomes 1 = (c-a)/(a-b), or 1 = 1/(a-b).

From this, we can conclude that a and b are not equal to c. So the correct answer is (d) a≠b≠c.