Solve for a in terms of k if k=2/a+3

a = 2/k - 3 or

a = (2-3k) / k

Step-by-step explanation:

k = 2 / (a+3)

Multiply each side by (a+3)

k * (a+3) = 2 / (a+3) * (a+3)

k (a+3) = 2

Divide each side by k

k/k (a+3) = 2/k

a+3 = 2/k

Subtract 3 from each side

a+3-3 = 2/k - 3

a = 2/k - 3

If we need a common denominator on the right, multiply 3 by k/k

a = 2/k - 3k/k

a = (2-3k) / k

A=K-3*2