make c the subject of the formula. w=ac/a-c
Starting with:
w = ac / (a - c)
Multiplying both sides by (a - c):
w(a - c) = ac
Expanding the left side:
wa - wc = ac
Rearranging:
wa = ac + wc
Factoring out c on the right side:
wa = c(a + w)
Dividing both sides by (a + w):
c = wa / (a + w)
Therefore, c is equal to wa divided by the sum of a and w.
To make c the subject of the formula w = ac / (a - c), we need to isolate the variable c on one side of the equation.
1. Start by multiplying both sides of the equation by (a - c) to remove the denominator:
w(a - c) = ac
2. Expand the equation by distributing w:
wa - wc = ac
3. Move the term wc to the other side of the equation:
wa = ac + wc
4. Factor out the variable c on the right side of the equation:
wa = c(a + w)
5. Divide both sides of the equation by (a + w):
c = wa / (a + w)
Therefore, c is the subject of the formula and can be expressed as c = wa / (a + w).