Question

Which of the following is equivalent to 5x-6y=20?

A y=5/6x
B y=5/6x-10/3
C y=6/5x+4
D y=-5/6x​

Answer 1

y =
`(5)/(6)`x -
`(10)/(3)`

Explanation:

Given expression:

5x - 6y = 20

To solve this problem, we make y the subject of the expression:

Solution

5x - 6y = 20

Add -5x to both sides of the expression;

-5x + 5x - 6y = 20 + (-5x)

-6y = 20 - 5x

Now, multiply both sides by
`-(1)/(6)` ;

`-(1)/(6)` x (-6y) =
`-(1)/(6)` (20 - 5x )

y =
`-(20)/(6)` +
`(5)/(6)`x

y =
`(5)/(6)`x -
`(10)/(3)`