x+a=b/3x
x= ?
i understand that u bring the x to one side but the answer given is 3a/b-3. I do not understand how to get this answer
plz help
to get the answer given, your equation must have been
x+a = (b/3)*x
multiply each term by 3:
3x + 3a = bx
3a = bx - 3x
3a = x(b-3)
then x = 3a/(b-3) as given.
To solve the equation x+a = (b/3)*x, we need to isolate the variable x on one side of the equation.
Step 1: Distribute (b/3) to x.
x + a = (b/3)*x
Distributing, we get:
x + a = (bx)/3
Step 2: Multiply each term in the equation by 3 to eliminate the denominator.
3(x + a) = 3 * ((bx)/3)
Simplifying, we have:
3x + 3a = bx
Step 3: Move all terms involving x to the left side of the equation.
3x - bx = -3a
Step 4: Factor out x on the left side.
x(3-b) = -3a
Step 5: Divide both sides of the equation by (3-b) to solve for x.
x = (-3a) / (3-b)
Simplifying further, we have:
x = 3a / (b-3)
Therefore, the correct answer is x = 3a / (b-3), not 3a / b-3 as you mentioned.
Make sure to put the entire denominator (b-3) in parentheses, as it is essential for the correct order of operations.