Question

Make a the subject of 14a+6w=ac+8w

Answer 1

The equation
`\(14a + 6w = ac + 8w\)` can be rearranged to make "a" the subject:
`\(a = (ac)/(14 - 2w)\).`

To make "a" the subject of the equation
`\(14a + 6w = ac + 8w\)`, we need to isolate "a" on one side of the equation. Here's the step-by-step process:

Starting equation:
`\(14a + 6w = ac + 8w\)`

1. Subtract 8w from both sides:

`\(14a - 8w + 6w = ac\)`

Simplify the left side:
`\(14a - 2w = ac\)`

2. Factor out the common factor of "a" on the right side:

`\(a(14 - 2w) = ac\)`

3. Divide both sides by
`\((14 - 2w)\)` to solve for "a":

`\(a = (ac)/(14 - 2w)\)`

So, the equation with "a" as the subject is
`\(a = (ac)/(14 - 2w)\).`