Question

What concept does this math problem fall under?

Solve for X:

1/x-c=1/k

Answer 1

it fals under algebra: solving for the unknown so

`(1)/(x)-c= (1)/(k)`
basically, we should try to isolate 1x on one side so something like
x=something so


`(1)/(k)`-c=
`(1)/(k)`
try to isolate x so
add c to both sides

`(1)/(x)`-c+c=
`(1)/(k)`+c
1/x=
`(1)/(k)`+c
multiply both sides by x
x/x=(
`(1)/(k)`+c)x
1=(
`(1)/(k)`+c)x
divide both sides by (1/k+c)

`(1)/( (1)/(k)+c )`=x
simplify
combine denoenator

`c= (ck)/(k) , (1)/(k)+c= (1)/(k)+ (ck)/(k)`
now invert and multiply

`(1)/( (1+ck)/(k) )=1 * (k)/(1+ck)= (k)/(1+ck)`
x=
`(k)/(1+ck)`