What is -x-y=-3,x^2-y=-1 ?

The solution to -x-y=-3,x^2-y=-1 is

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

-x-y=-3,x^2-y=-1

- x - y = - 3, x^{2} - y = - 1

(x = - 2, x = 1, y = 5 y = 2)

Solution steps

[- x - y = - 3 x^{2} - y = - 1]

Subtract the equations

- x - y = - 3

- x - y - (x^{2} - y) = - 3 - (- 1)

Simplify

- x^{2} - x = - 2

Solve

- x^{2} - x = - 2 : x = - 2, x = 1

Plug the solutions

x = - 2, x = 1

into

- x - y = - 3

For

- x - y = - 3

, subsitute

x

with

- 2 : y = 5

For

- x - y = - 3

, subsitute

x

with

1 : y = 2

Verify solutions by plugging them into the original equations

Therefore, the final solutions for

- x - y = - 3, x^{2} - y = - 1

are

(x = - 2, x = 1, y = 5 y = 2)

3 x^{2} - 23 x + 40 = 0, 5 y^{2} - 17 y + 1 y = 0

6 x^{2} + y = 1, 412 x^{2} - y = 4

abb = 6 c, c = 10

x + y = 1, 1 x y = 30

y - y^{2} y = x, x = 6