(5)/(6)=(15)/(y)

Question

`(5)/(6)=(15)/(y)`

Answer 1

y = 18

Explanation:

Given the equation:

`\displaystyle{(5)/(6) = (15)/(y)}`

Multiply both sides by 6y to get rid of the denominators:

`\displaystyle{(5)/(6)\cdot 6y = (15)/(y)\cdot 6y}\\\\\displaystyle{5y=15\cdot 6}\\\\\displaystyle{5y=90}`

Divide both sides by 5 to isolate the y-term:

`\displaystyle{(5y)/(5) = (90)/(5)}\\\\\displaystyle{y=18}`

Hence, the value of y is 18.