What number must replace x and y for the three fractions to become equivalent? 6/14 = x/7 = 24/y (1 point) x = , y =
To find the values of x and y that make the three fractions equivalent, we first need to find the common denominator. In this case, the common denominator is 14 * 7 * y.
To make the first fraction equivalent to the others, we can multiply both the numerator and the denominator by 7 and y:
6/14 = (6*7*y) / (14*7*y)
= 42y / (98y)
To make the second fraction equivalent to the others, we can multiply both the numerator and the denominator by 14 and y:
x/7 = (x*14*y) / (7*14*y)
= 14xy / (98y)
To make the third fraction equivalent to the others, we can multiply both the numerator and the denominator by 7 and 14:
24/y = (24*7*14) / (y*7*14)
= 2352 / (98y)
So, to make all three fractions equivalent, we have:
42y / (98y) = 14xy / (98y) = 2352 / (98y)
This means that x = 42 and y = 2352.