9/x+5=4/x-3 how do I set this up and work it?
Multiply both sides by (x-3) and then divide both sides by 9.
I hope you get what I said. Have fun!!!!
To solve the equation 9/x + 5 = 4/x - 3, you need to simplify and isolate the variable x. Here's how you can set it up and work through it.
Step 1: Eliminate the denominators by multiplying the entire equation by x. This will result in:
9 + 5x = 4 - 3x
Step 2: Group the x terms on one side and the constant terms on the other side of the equation. Do this by adding 3x and subtracting 4 from both sides:
5x + 3x = -4 - 9
Combining like terms gives:
8x = -13
Step 3: Solve for x by dividing both sides of the equation by 8:
x = (-13) / 8
Step 4: Simplify the fraction, if possible. In this case, -13 is already in its simplest form and cannot be divided further.
So, the solution to the equation is x = -13/8.
Note: It is always a good practice to check your solution by substituting it back into the original equation and ensuring both sides are equal.