Solve for y,

xy + x = -3

How do you do this? I can't seem to come up with the correct answer...

How in the world do you do this? I'm so confused. Thank you all for your time and help...

-2 < 2x - 5 < 3

just isolate all the y terms on te left:

xy = -3-x

now divide by x:

y = (-3-x)/x = -3/x - 1

as long as x≠0

-2 < 2x - 5 < 3

add 5 to all parts:
-3+5 = 2x-5+5 < 3+5
2 < 2x < 8
now divide by 2:
1 < x < 4

These are not always so simple. You might have to separate into two problems to be solved separately:

-2 < 2x-5 and 2x-5 < 3

Thank you Steve for your help!

To solve for y in the given equation xy + x = -3, you need to isolate y on one side of the equation. Here's how you can do it step by step:

Step 1: Start with the given equation: xy + x = -3.

Step 2: Factor out the common factor of x on the left-hand side of the equation:
x(y + 1) = -3.

Step 3: Divide both sides of the equation by (y + 1) to isolate x:
x = -3 / (y + 1).

Step 4: Now, you need to solve the equation for y. To do that, you can cross-multiply:
x(y + 1) = -3.

Step 5: Distribute x to both terms inside the parentheses:
xy + x = -3.

Step 6: Rearrange the equation to isolate y on one side:
xy = -x - 3.

Step 7: Divide both sides of the equation by x to solve for y:
y = (-x - 3) / x.

Now you have solved for y!