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Question

What is the solution to the proportion?

3y−812 = y5

Answer 1

To solve this proportion, we need to isolate the variable on one side of the equation.

First, we distribute the y to each term on the right side:
3y - 8 = y/5

Next, we can eliminate the fraction by multiplying both sides of the equation by 5:
5(3y - 8) = y

Using the distributive property, we have:
15y - 40 = y

Next, we want to get all the y terms on one side of the equation. We can do this by subtracting y from both sides:
15y - y - 40 = 0

Combining like terms, we have:
14y - 40 = 0

To isolate the y term, we add 40 to both sides of the equation:
14y = 40

Finally, we solve for y by dividing both sides of the equation by 14:
y = 40/14
y = 20/7

Therefore, the solution to the proportion is y = 20/7.