Question

-4x>6y - 54


I’m not sure how to completely solve this

Answer 1

Solving for X:

1) Divide both sides by-4.

`x < - (6y - 54)/(4)`

2) Factor out the common term 6.

`x < - (6(y - 9))/(4)`

3) Simplify 6(y-9)/4 to 3 ( y - 9) / 2.

`x < - (3(y - 9))/(2)`

Therefor, the answer for x is x < - 3(y - 9)/2.

Solving for Y:

`- 4x + 54 > 6y`

`( - 4x + 54)/(6) > y`

`( - 2(2x - 27))/(6) > y`

`- (2(2x - 27))/(6) > y`

`- (2x - 27)/(3) > y`

`y < - (2x - 27)/(3)`

Therefor, the answer for Y is y < - 2x-27/3.