What is xy=1,2yx-y=15 ?

The solution to xy=1,2yx-y=15 is

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

xy=1,2yx-y=15

x y = 1, 2 y x - y = 15

(x = - \frac{1}{13}, y = - 13)

Solution steps

[x y = 1 2 y x - y = 15]

Isolate

x

for

x y = 1 : x = \frac{1}{y}; y \neq = 0

Plug the solutions

x = \frac{1}{y}

into

2 y x - y = 15

For

2 y x - y = 15

, subsitute

x

with

\frac{1}{y} : y = - 13

Plug the solutions

y = - 13

into

x y = 1

For

x y = 1

, subsitute

y

with

- 13 : x = - \frac{1}{13}

Verify solutions by plugging them into the original equations

Therefore, the final solution for

x y = 1, 2 y x - y = 15

(x = - \frac{1}{13}, y = - 13)

x + y = 3, 3 x - 3 y = 1

x + 2 = 9, x - 2 = - 5

12 p + 13 y = 51, 13 p + 12 y = 49

x + 3 (2 - y) = 6, 3 x + 2 y = 22

2 x + 3 y - 6 z = 4, 3 x - 2 y - 9 z = - 7, 2 x + 5 y - 6 z = 8