Given: 2d-f/3 = f-3d/5, solve for f
James/Jack/Jacqueline/Randi -- please use the same name for your posts.
they were questions from diff people on the same device..
I would multiply by 15 to get rid of those fractions,
30d - 5f = 15f - 9d
-20f = -39d
f = 39/20
Hmmm.
(2d-f)/3 = (f-3d)/5
5(2d-f) = 3(f-3d)
10d - 5f = 3f - 9d
-8f = -19d
f = 19/8 d
10 d - 3f + 2d - f
To solve the equation for f, we need to isolate the variable f on one side of the equation. Here are the steps to solve it:
Step 1: Start by getting rid of the fractions by multiplying every term in the equation by the least common denominator (LCD) of 3 and 5, which is 15.
15*(2d - f/3) = 15*(f - 3d/5)
Step 2: Distribute the multiplication on both sides of the equation.
30d - 5f = 3f - 9d
Step 3: Simplify the equation by combining like terms.
30d + 9d = 3f + 5f
39d = 8f
Step 4: Divide both sides of the equation by 8 to isolate the variable f.
(39d)/8 = (8f)/8
Simplifying this further, we get:
4.875d = f
Therefore, the value of f is equal to 4.875 times d.