​ Solve the following systems of equations: 3/x - 1/y = - 9 2/x + 3/y = 5 ​

Question

Solve the following systems of equations:

\(\frac{3}{x}\) - \(\frac{1}{y}\) = - 9

\(\frac{2}{x}\)+\(\frac{3}{y}\) = 5

Answer 1

 \(\frac{3}{x}\) - \(\frac{1}{y}\) = - 9

\(\frac{2}{x}\)+\(\frac{3}{y}\) = 5

Multiplying eq1 by 3 and adding to eq1

⇒ 11/x = - 27 +5

⇒ x = - 1/2

Thus,

- 4 + 3/y = 5

⇒ y = 1/3