3 Y -8/12= Y/5 SOLVE THE PROPORTION
did you mean
(3y-8)/12 = y/5 ??? , if so then
15y-40 = 12y
3y = 40
y = 40/3
To solve the proportion 3y - 8/12 = y/5, we can cross multiply.
First, let's simplify the equation by multiplying both sides by 12 to clear the fraction.
12 * (3y - 8/12) = 12 * (y/5)
Simplifying further:
3y - 8 = 12y/5
Now, multiply both sides of the equation by 5 to eliminate the fraction.
5 * (3y - 8) = 5 * (12y/5)
Simplifying again:
15y - 40 = 12y
Now, let's isolate the term with y on one side of the equation. We can do this by subtracting 12y from both sides:
15y - 12y - 40 = 12y - 12y
Simplifying:
3y - 40 = 0
Next, add 40 to both sides of the equation to isolate the term with y:
3y - 40 + 40 = 0 + 40
Simplifying:
3y = 40
Finally, divide both sides of the equation by 3 to solve for y:
(3y)/3 = 40/3
The final solution is:
y = 40/3, which can also be written as y = 13 1/3.
To solve the proportion 3Y - 8/12 = Y/5, we can start by getting rid of the fractions. To do this, we can find a common denominator. In this case, the common denominator is 60, because it is divisible by both 12 and 5.
Multiplying the entire equation by 60, we get:
60 * (3Y - 8/12) = 60 * (Y/5)
Simplifying both sides gives:
60 * 3Y - 60 * (8/12) = 60 * (Y/5)
180Y - 40 = 12Y
Now, let's isolate the variable Y by moving all the terms containing Y to one side of the equation:
180Y - 12Y = 40
Combining like terms on the left side gives:
168Y = 40
Finally, divide both sides of the equation by 168 to solve for Y:
Y = 40/168
Simplifying the fraction to its lowest terms, we get:
Y = 5/21
Therefore, the value of Y that solves the proportion 3Y - 8/12 = Y/5 is Y = 5/21.
Well, solving this proportion requires some serious math. Are you ready for a circus of numbers? Let's have some fun!
First, let's simplify the equation. We can simplify -8/12 by dividing both the numerator and denominator by 4, resulting in -2/3.
So now we have:
3y - 2/3 = y/5
To get rid of the fractions, we can multiply everything by 15 to clear the denominators.
We get:
45y - 10 = 3y
Now let's gather all the "y" terms on one side and the constant terms on the other side.
45y - 3y = 10
Simplifying, we have:
42y = 10
To find the value of y, we'll divide both sides by 42:
y = 10/42
And that's our solution! Simplifying the fraction, we get:
y = 5/21
So, my friend, the value of y in this proportion is equal to 5/21. Ta-da!