Solve the following systems of equations:\(\frac{10}{x-y}\)+\(\frac{2}

1.	Solve the following systems of equations:\(\frac{10}{x-y}\)+\(\frac{2}{x-y}\) = 4\(\frac{15}{x+y}\) - \(\frac{9}{x-y}\) = - 2
Answer» \(\frac{10}{x-y}\)+\(\frac{2}{x-y}\) = 4 \(\frac{15}{x+y}\) - \(\frac{9}{x-y}\) = - 2 Multiplying eq1 by 9 and eq2 by 2 and adding ⇒ 120/(x + y) = 32 ⇒ x + y = 15/4 ---- (1) Multiplying eq1 by 3 and eq2 by 2 and subtracting ⇒ 24/(x – y) = 16 ⇒ x – y = 3/2 ---- (2) Adding (1) and (2) ⇒ 2x = 21/4 ⇒ x = 21/8 Thus, 21/8 – y = 3/2 ⇒ y = 9/8

Solve the following systems of equations:\(\frac{10}{x-y}\)+\(\frac{2}{x-y}\) = 4\(\frac{15}{x+y}\) - \(\frac{9}{x-y}\) = - 2

Answer»

\(\frac{10}{x-y}\)+\(\frac{2}{x-y}\) = 4

\(\frac{15}{x+y}\) - \(\frac{9}{x-y}\) = - 2

Multiplying eq1 by 9 and eq2 by 2 and adding

⇒ 120/(x + y) = 32

⇒ x + y = 15/4 ---- (1)

Multiplying eq1 by 3 and eq2 by 2 and subtracting

⇒ 24/(x – y) = 16

⇒ x – y = 3/2 ---- (2)

Adding (1) and (2)

⇒ 2x = 21/4

⇒ x = 21/8

Thus,

21/8 – y = 3/2

⇒ y = 9/8