Question

If 2/3 = x/y, then which of the following must be true?

A. (2 + 3)/3 = (x + y)/y
B. (2 + x)/3 = (x + 2)/y
C. (2 + 1)/3 = (x + 1)/y
D. 3/2 = x/y

Answer 1

To find the true statement, cross-multiply the fractions and check for equality. Option C is correct.

Step-by-step explanation:

The equation 2/3 = x/y represents a proportion. To determine which of the given options is true, we can cross-multiply the fractions and check if they are equal.

A. (2 + 3)/3 = (x + y)/y: 5/3 = x/y. Incorrect.

B. (2 + x)/3 = (x + 2)/y: (2 + x)/3 = (x + 2)/y. Incorrect.

C. (2 + 1)/3 = (x + 1)/y: 3/3 = x/y. Correct.

D. 3/2 = x/y: Incorrect.

Therefore, the correct option is C.