What is the solution to the following proportion? Please show all work in order to receive full credit.
4y−10/12=y/10
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.