Question

What is the solution to the proportion? 3y - 8/12 = y/5

a) y = 1.2
b) y = 2
c) y = 3
d) y = 4

Answer 1

The correct solution to the proportion 3y - 8/12 = y/5 is y = 13.33 after cross multiplying and simplifying the equation; therefore, the provided options are not correct.

Step-by-step explanation:

The solution to the proportion 3y - 8/12 = y/5 requires finding the value of y that makes the ratio equal on both sides of the equation. We start by multiplying both sides of the equation by 12 and 5 to eliminate the fractions which gives us 5(3y - 8) = 12y. Simplifying this, we get 15y - 40 = 12y.

By subtracting 12y from both sides, the equation simplifies to 3y - 40 = 0. Adding 40 to both sides gives us 3y = 40, and finally, dividing both sides by 3 gives us y = 40/3, which simplifies to y = 13.33. Therefore, none of the options provided (a, b, c, d) is correct.