Solve the following systems of equations:\(\frac{5}{x+y}\) - \(\frac

1.	Solve the following systems of equations:\(\frac{5}{x+y}\) - \(\frac{2}{x-y}\) = - 1\(\frac{15}{x+y}\) + \(\frac{7}{x-y}\) = 10
Answer» \(\frac{5}{x+y}\) - \(\frac{2}{x-y}\) = - 1 \(\frac{15}{x+y}\) + \(\frac{7}{x-y}\) = 10 Multiplying eq1 by 3 and subtracting from eq2 ⇒ 13/(x – y) = 13 ⇒ x – y = 1 ------ (3) Multiplying eq1 by 7 and eq2 by 2 and adding ⇒ 65/(x + y) = 13 ⇒ x + y = 5 ------- (4) Thus, 2x = 6 ⇒ x = 3 y = x – 1 ⇒ y = 2

Solve the following systems of equations:\(\frac{5}{x+y}\) - \(\frac{2}{x-y}\) = - 1\(\frac{15}{x+y}\) + \(\frac{7}{x-y}\) = 10

Answer»

\(\frac{5}{x+y}\) - \(\frac{2}{x-y}\) = - 1

\(\frac{15}{x+y}\) + \(\frac{7}{x-y}\) = 10

Multiplying eq1 by 3 and subtracting from eq2

⇒ 13/(x – y) = 13

⇒ x – y = 1 ------ (3)

Multiplying eq1 by 7 and eq2 by 2 and adding

⇒ 65/(x + y) = 13

⇒ x + y = 5 ------- (4)

Thus,

2x = 6

⇒ x = 3

y = x – 1

⇒ y = 2