What number must replace x and y for the three fractions to become equivalent? 6/14 = x/7 = 24/y

Answer 1

To find the number that must replace x and y for the three fractions to become equivalent, we can solve for x and y separately.

First, let's find x:

We can set up a proportion using the first equation:

6/14 = x/7

To solve for x, we can cross-multiply:

14x = 6 * 7
14x = 42

Dividing both sides by 14:

x = 42/14
x = 3

So, x must be replaced by 3.

Next, let's find y:

We can set up a proportion using the second equation:

x/7 = 24/y

Substituting x = 3:

3/7 = 24/y

To solve for y, we can cross-multiply:

3y = 7 * 24
3y = 168

Dividing both sides by 3:

y = 168/3
y = 56

So, y must be replaced by 56.

Therefore, to make the three fractions equivalent, x must be replaced by 3 and y must be replaced by 56.