What is x+6y=3,xy=-9 ?

The solution to x+6y=3,xy=-9 is

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

x+6y=3,xy=-9

x + 6 y = 3, x y = - 9

(x = 9, x = - 6, y = - 1 y = \frac{3}{2})

Solution steps

[x + 6 y = 3 x y = - 9]

Isolate

x

for

x + 6 y = 3 : x = 3 - 6 y

Plug the solutions

x = 3 - 6 y

into

x y = - 9

For

x y = - 9

, subsitute

x

with

3 - 6 y : y = - 1, y = \frac{3}{2}

Plug the solutions

y = - 1, y = \frac{3}{2}

into

x + 6 y = 3

For

x + 6 y = 3

, subsitute

y

with

- 1 : x = 9

For

x + 6 y = 3

, subsitute

y

with

\frac{3}{2} : x = - 6

Verify solutions by plugging them into the original equations

Therefore, the final solutions for

x + 6 y = 3, x y = - 9

are

(x = 9, x = - 6, y = - 1 y = \frac{3}{2})

y = x^{2}, y = x + 2

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

1 y = x^{2} - 5 x + 7, y = 2 x + 1

x^{2} + y = 37, 3 x + 4 y = 22

8 x + 9 y = - 5, - 8 x - 9 y = 5