For problems 1 and 2 write Y as a function of X

1) 12=9x+3y
- I think you would subtract 9 from the 12.. but I'm not really sure because you can't add/subtract x's and y's from regular numbers.

2) -2x+3y=9
Same problem as above..
Can someone please explain to me how to do these problems?!
Thank you.

-Allyson

Sure, Allyson! I'd be happy to explain how to solve these problems.

To write Y as a function of X, we need to isolate the Y variable on one side of the equation.

1) For the equation 12=9x+3y, we can start by subtracting 9x from both sides to move the term containing X to the right side of the equation:
12 - 9x = 3y

Next, to solve for Y, we divide both sides of the equation by 3:
(12 - 9x) / 3 = y

Simplifying the right side gives us the final form:
4 - 3x = y

Therefore, Y can be written as a function of X as Y = 4 - 3X.

2) For the equation -2x + 3y = 9, we can start by isolating the term containing Y. Let's move the term involving X to the right side:
3y = 2x + 9

To solve for Y, we divide both sides of the equation by 3:
(2x + 9) / 3 = y

Simplifying the right side gives us the final form:
(2/3)x + 3 = y

Therefore, Y can be written as a function of X as Y = (2/3)X + 3.

Remember, to write Y as a function of X, you want to isolate Y on one side of the equation. You can achieve this by performing inverse operations to move terms containing X to the other side.