8/x= −1/3x+5 solve the equation.
Is the denominator on the right 3, 3x or (3x +5) ? You need to use parentheses to clarify equations like that, when they are typed on a single line.
If you mean
8/x = -1/(3x+5), then
8(3x+5) = -x
25x = -40
x = -8/5
Whats the average of 12over17 rounded to the nearest thousandth
To solve the equation 8/x = -1/3x + 5, we need to isolate the variable x. Here's how to do it step by step:
Step 1: Simplify the equation
Start by multiplying both sides of the equation by the common denominator, which is 3x. This will help eliminate the fractions.
3x * (8/x) = 3x * (-1/3x + 5)
Simplifying the left side of the equation:
3 * (8) = 8x
Now simplify the right side of the equation:
3x * (-1/3x) + 3x * 5
-1 + 15x
Step 2: Combine like terms
Combine the terms on the right side of the equation:
8x = -x + 15
Step 3: Move all terms to one side of the equation
To manipulate the equation more easily, let's move all terms to one side, which means subtracting -x and 15 from both sides of the equation:
8x + x - 15 = 0
Combining like terms:
9x - 15 = 0
Step 4: Isolate the variable
To isolate the variable x, we need to move the constant term (-15) to the other side of the equation by adding 15 to both sides:
9x - 15 + 15 = 0 + 15
Simplifying:
9x = 15
Step 5: Solve for x
Finally, divide both sides of the equation by the coefficient of x (9) to solve for x:
9x/9 = 15/9
Simplifying:
x = 15/9 or x = 5/3
So the solutions to the equation 8/x = -1/3x + 5 are x = 15/9 or x = 5/3.