answer:
y = -2/3x -4/3
Explanation:
you start with 6x-9y = 12. you need to get y alone and on its own side of the equal sign.
starting easy, all coefficients (6, -9, and 12) have a GCF of 3. so, let's divide all sides by 3.
you are left with 2x-3y=4. now, we need to get -3y on its own side of the equal sign before we can get rid of its coefficient (-3). also, when identifying the coefficient of x, y, or any variable, include the + or - sign. you just don't need to write +, but you have to write -.
2x-3y=4 means we subtract 2x from both signs because it is positive. we now have
-3y = 2x + 4. let's divide by -3 to get y on it's own
y = -2/3x -4/3