What is the solution to the following proportion? Please show all work in order to receive full credit.

Question

4y−10/12=y/10

Answer 1

The first step is to cross multiply.

Cross multiplying means multiplying the numerator of one fraction by the denominator of the other fraction.

So, we have:

(4y - 10) * 10 = 12 * y

Multiplying both sides out gives us:

40y - 100 = 12y

Next, we need to combine like terms by subtracting 12y from both sides:

40y - 12y - 100 = 0

28y - 100 = 0

Now, we add 100 to both sides:

28y = 100

Finally, we divide both sides by 28 to solve for y:

y = 100/28

Simplifying the fraction:

y = 25/7

So the solution to the proportion is y = 25/7.