what numbers must replace x and y for the three fractions to become equivalent

Question

6/14=x/7=24/y

x=
y=

Answer 1

To find the values of x and y that make the fractions equivalent, we can set up a proportion:

6/14 = x/7

To solve for x, we can cross-multiply:

14x = 6 * 7

14x = 42

Dividing both sides by 14:

x = 3

Now let's set up the second proportion:

6/14 = 24/y

Cross-multiplying:

6y = 14 * 24

6y = 336

Dividing both sides by 6:

y = 56

Therefore, x = 3 and y = 56.