Question

X/5=y/3 and 12/y=4/5 what does x equal and what does y equal and how?

Answer 1

Final Answer:
`x = (5y)/(3)`,
`y = 15`

Steps/Reasons/Explanation:

Question:
`(x)/(5) = (y)/(3)` and
`(12)/(y) = (4)/(5)`. What does
`x` equal and what does
`y` equal and how?

Solving for
`x` in the equation
`(x)/(5) = (y)/(3)`.

Step 1: Multiply both sides by
`5`.

`x = (y)/(3) * 5`

Step 2: Simplify
`(y)/(3) * 5` to
`(y * 5)/(3)`.

`x = (y * 5)/(3)`

Step 3: Regroup terms.

`x = (5y)/(3)`

Solving for
`y` in the equation
`(12)/(y) = (4)/(5)`.

Step 1: Multiply both sides by
`y`.

`12 = (4)/(5)y`

Step 2: Simplify
`(4)/(5)y` to
`(4y)/(5)`.

`12 = (4y)/(5)`

Step 3: Multiply both sides by
`5`.

`12 * 5 = 4y`

Step 4: Simplify
`12 * 5` to
`60`.

`60 = 4y`

Step 5: Divide both sides by
`4`.

`(60)/(4) = y`

Step 6: Simplify
`(60)/(4)` to
`15`.

`15 = y`

Step 7: Switch sides.

`y = 15`

~I hope I helped you :)~