What number must replace x
and y
for the three fractions to become equivalent?
614 = x7 = 24y
(1 point)
x =
, y =
1. 28
2. 3 AND 56
3. 25
4. 17/3
5. 8 8/15
To find the value of x and y that make the three given fractions equivalent, we need to solve the equations:
614 = x/7 = 24/y
To solve for x:
- Multiply both sides of the equation by 7 to eliminate the denominator:
7 * 614 = 7 * (x/7)
4298 = x
To solve for y:
- Multiply both sides of the equation by y to eliminate the denominator:
y * 614 = 24 * y
Since we already know that x = 4298, we can substitute it into the equation:
4298 * 614 = 24 * y
Multiply the numbers on the left side to get:
2,640,572 = 24 * y
Now, divide both sides of the equation by 24 to solve for y:
2,640,572 / 24 = y
110,023 = y
Therefore, the value of x is 4298, and the value of y is 110,023.
To find the values of x and y that would make the three fractions equivalent, we need to solve the equations:
614 = x/7 and 614 = 24y
To solve for x, we can multiply both sides of the equation x/7 = 614 by 7:
7 * (x/7) = 614 * 7
x = 4298
To solve for y, we can divide both sides of the equation 614 = 24y by 24:
614/24 = (24y)/24
25.5833 = y
Therefore, x = 4298 and y ≈ 25.5833.
To find the value of x and y in order to make the three fractions equivalent, we can set up an equation.
Given:
614 = x/7 = 24/y
To solve for x:
Multiply both sides of the equation by 7 to eliminate the fraction:
614 * 7 = x
4298 = x
To solve for y:
Multiply both sides of the equation by y to eliminate the fraction:
24 * y = 614
y = 614/24
y = 25.5833 (approx.)
Therefore, x = 4298 and y = 25.5833 (approx.)