Help solve for Y?

Question

2x - 3y = 12

Answer 1

2x = 12 + 3y
3y = 2x - 12
y = (2/3) x - 4

Answer 2

getting the y, you can produce the y-slope form or y=mx + b
m=slope b=intercept
given equation : 2x - 3y = 12

1. transfer 2x to the other side, i mean near 12,
(---transfering something to the otherside will make its sign changed ex. x+1=0 ; x=-1..or x-1=0 ; x=1)
* you will produce -3y =-2x + 12

2. divide it using the # near the y (its sign will follow)
*(-3y = -2x + 12)/3 or (-3/-3)y = (-2/-3)x + (12/-3)

answer: y=(2/3)x - 4
slope=2/3 intercept = -4

if you want to graph it, try this through substitution

x 0; 3; 6
y -4; -2; 0

how did I get this one?

let the value of x = 0

y=(2/3)(0) - 4
y=0 - 4
y= -4

let the value of y = 0

0=(2/3)x - 4
-(2/3)x = -4
-2x= -4 x 3
-2x = -12
(-2/-2)x = -12/-2
x=6

then graph it. because the slope is positive the line must me ascending( / ) from left to right

Answer 3

y=4

Answer 4

You'd simply want to put that in y=mx+b form:

-3y = -2x+12
y=(2/3)x - 4

Answer 5

y = 2x/3 -4

Answer 6

2x - 3y = 12
3y = 2x - 12
y = (2/3)(x - 6)

Answer 7

3y= 2x-12
y= (2x-12)/3

Answer 8

y = (2x-12)/3