Question

In mathematics given that x=L2-L1/L1(O2-O1).

1.make L1 the subject formula
2.make O2the subject formula​

Answer 1

1. L1 =
`(L2)/(X(O2 -O1))`

2. O2 =
`(L2 - L1(1 + XO1))/(XL1)`

Explanation:

Given: x =
`(L2 - L1)/(L1(O2 -O1))`

1. To make L1 the subject of formula;

x =
`(L2 - L1)/(L1(O2 -O1))`

cross multiply to have;

L2 - L1 = xL1(O2 - O1)

collect like terms,

L2 = xL1(O2 - O1) + L1

factorize the right hand side;

L2 = L1[x(O2 - O1)]

L1 =
`(L2)/(X(O2 -O1))`

2. To make O2 the subject of formula;

x =
`(L2 - L1)/(L1(O2 -O1))`

cross multiply to have;

L2 - L1 = xL1(O2 - O1)

open the bracket to have;

L2 - L1 = xL1O2 - xL1O1

⇒ xL1O2 = L2 - L1 + xL1O1

O2 =
`(L2-L1 + XL1O1)/(XL1)`

=
`(L2 - L1(1 + XO1))/(XL1)`