Question

2 of 52 of 5 Items
help ?



Question
What number must replace x
and y
for the three fractions to become equivalent?

614 = x7 = 24y


(1 point)
x =

, y =

Answer 1

To solve the problem, we need to find the values of \( x \) and \( y \) such that the three fractions \( \frac{6}{14}, \frac{x}{7}, \frac{24}{y} \) are equivalent.

First, let's simplify the fraction \( \frac{6}{14} \):

\[
\frac{6}{14} = \frac{3}{7}
\]

Now, we want to set the other fractions equal to \( \frac{3}{7} \).

1. **Finding \( x \)**:

Set \( \frac{x}{7} = \frac{3}{7} \).

To solve for \( x \):
\[
x = 3
\]

2. **Finding \( y \)**:

Set \( \frac{24}{y} = \frac{3}{7} \).

Cross-multiply to solve for \( y \):
\[
3y = 24 \cdot 7
\]
Calculating \( 24 \cdot 7 \):
\[
24 \cdot 7 = 168
\]
So,
\[
3y = 168
\]
Dividing both sides by 3 gives:
\[
y = \frac{168}{3} = 56
\]

Therefore, the answers are:
\[
x = 3, \quad y = 56
\]