Question

Solve the following systems of equations:

2(3u - v) = 5uv

2(u + 3v) = 5uv

Answer 1

2(3u - v) = 5uv

2(u + 3v) = 5uv

Equating both equations

⇒ 6u – 2v = 2u + 6v

⇒ u = 2v

Substituting value of u

⇒ 2(6v – v) = 5 × 2v × v

⇒ v = 1

Thus,

2(3u – 1) = 5u

⇒ 6u – 2 = 5u

⇒ u = 2