can someone check my answer for me please!

5x+6y=18 solve for y
6y=18-5
y=3-5/6x

Close, except you have to subtract 5x from both sides. (You just subtracted 5 from the right side.)

5x + 6y = 18
Subtract 5x from both sides.

6y = 18 - 5x
Divide by 16

y = (18-5x)/6
or 3 - (5/6)x

All right. I think you must have done it correctly, and you just forgot your x in the second step. Good job. :)

Oops... that should say...

6y = 18 - 5x
Divide by 6 (not 16).

okay so using y = (-5/6)x + 3 how do i find the corresponding value for y when x = 12?

Simply plug in 12 for x...

y = (-5/6)(12) + 3 = -10 + 3 = -7

To solve for y in the equation 5x + 6y = 18, we need to isolate the variable y on one side of the equation.

Here's how you can check your answer:

Step 1: Begin by subtracting 5x from both sides of the equation to isolate the term containing y:

5x + 6y - 5x = 18 - 5x

Simplifying this equation gives us:

6y = 18 - 5x

Step 2: Now, if we want to solve for y, we need to get rid of the coefficient in front of y. In order to do that, we divide both sides of the equation by 6:

(6y)/6 = (18 - 5x)/6

Simplifying further, we get:

y = (18 - 5x)/6

So, the correct expression for y is:

y = (18 - 5x)/6

Now, you can compare your answer, y = 3 - (5/6)x, with the correct answer to check if they are the same. It seems like your answer is not correct. The correct answer is y = (18 - 5x)/6.