Solve the following systems of equations:\(\frac{22}{x+y}\)+\(\frac{15

1.	Solve the following systems of equations:\(\frac{22}{x+y}\)+\(\frac{15}{x-y}\) = 5\(\frac{55}{x+y}\)+\(\frac{45}{x-y}\) = 14
Answer» \(\frac{22}{x+y}\)+\(\frac{15}{x-y}\) = 5 \(\frac{55}{x+y}\)+\(\frac{45}{x-y}\) = 14 Multiplying eq1 by 3 and subtracting from eq2 ⇒ - 11/(x + y) = - 1 ⇒ x + y = 11 ---------- (3) Multiplying eq1 by 5 and eq2 by 2 and subtracting ⇒ 15/(x – y) = 3 ⇒ x – y = 5 ------ (4) (3) + (4) ⇒ 2x = 16 ⇒ x = 8 Thus, y = 3

Solve the following systems of equations:\(\frac{22}{x+y}\)+\(\frac{15}{x-y}\) = 5\(\frac{55}{x+y}\)+\(\frac{45}{x-y}\) = 14

Answer»

\(\frac{22}{x+y}\)+\(\frac{15}{x-y}\) = 5

\(\frac{55}{x+y}\)+\(\frac{45}{x-y}\) = 14

Multiplying eq1 by 3 and subtracting from eq2

⇒ - 11/(x + y) = - 1

⇒ x + y = 11 ---------- (3)

Multiplying eq1 by 5 and eq2 by 2 and subtracting

⇒ 15/(x – y) = 3

⇒ x – y = 5 ------ (4)

(3) + (4)

⇒ 2x = 16

⇒ x = 8

Thus,

y = 3