what numbers must replace x and y for the three fractions to become equivalent
6/14=x/7=24/y
x=
y=
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.
To find the values of x and y that make the three fractions equivalent, we need to set up equations based on the given information.
The first equation is:
6/14 = x/7
To find the value of x, we can cross-multiply:
6 * 7 = 14 * x
42 = 14x
Dividing both sides by 14:
42/14 = x
x = 3
So, x = 3.
The second equation is:
6/14 = 24/y
To find the value of y, we can again cross-multiply:
6 * y = 14 * 24
6y = 336
Dividing both sides by 6:
6y/6 = 336/6
y = 56
So, y = 56.
Therefore, x = 3 and y = 56 are the numbers that should replace x and y for the three fractions to become equivalent.
To find the values of x and y that make the fractions equivalent, we need to set up and solve equations using the given information:
6/14 = x/7 (equation 1)
24/y = x/7 (equation 2)
First, we'll solve equation 1 to find the value of x:
To isolate x, we can cross-multiply:
6 * 7 = 14 * x
42 = 14x
Divide both sides by 14 to solve for x:
42/14 = x
3 = x
Therefore, x = 3.
Now, let's use the value of x to solve for y in equation 2:
By cross-multiplying,
24 * 7 = y * x
168 = 3y
To isolate y, divide both sides by 3:
168/3 = y
56 = y
Therefore, y = 56.
So, the values that replace x and y to make the three fractions equivalent are:
x = 3
y = 56