Can someone check my work?
the problem is: x=2+3/y and I have to solve for y
I get rid of the denominator y and multiply it with X...so it looks like
xy=5
then just divide by x on both sides for a final answer of y=5/x
You are correct, if the problem was
x=(2+3)/y
Now if it this..
x=2 + 3/y
subtract 2 from both sides
multiply both sides by y
divide both sides by x-2
64 divided by (9+7)
To solve for y in the equation x = 2 + 3/y, you want to isolate y on one side of the equation. Here's how you can go about it:
1. Start with the equation: x = 2 + 3/y.
2. Subtract 2 from both sides to isolate the term with y: x - 2 = 3/y.
3. Now, to eliminate the denominator (y), you can multiply both sides of the equation by y: y * (x - 2) = 3.
4. Distribute the y on the left side of the equation: xy - 2y = 3.
5. Move the term without y to the other side of the equation by adding 2y to both sides: xy = 2y + 3.
6. To get y by itself, we can rearrange the terms by subtracting 2y from both sides: xy - 2y = 3 - 2y.
7. Factor out y on the left side: y(x - 2) = 3 - 2y.
8. Finally, divide both sides of the equation by (x - 2) to solve for y: y = (3 - 2y)/(x - 2).
The final answer for y in terms of x is y = (3 - 2y)/(x - 2). Please note that this is the most simplified form of the equation and can't be further simplified unless you have additional information or restrictions on the values of x and y.