Question

Find the value of A in the equation (5/a+3)=(3/A-2)

Answer 1

Solve for A:3 + 5/a = 3/A - 2
3 + 5/a = 3/A - 2 is equivalent to 3/A - 2 = 3 + 5/a:3/A - 2 = 3 + 5/a
Bring 3/A - 2 together using the common denominator A:(3 - 2 A)/A = 3 + 5/a
Multiply both sides by A:3 - 2 A = A (3 + 5/a)
Subtract (3 + 5/a) A + 3 from both sides:A (-5/a - 5) = -3
Divide both sides by -5/a - 5:Answer:  A = 3/(5 + 5/a)