What is xy=-4,3x+4y=-22 ?

The solution to xy=-4,3x+4y=-22 is

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xy=-4,3x+4y=-22

x y = - 4, 3 x + 4 y = - 22

(x = - 8, x = \frac{2}{3}, y = \frac{1}{2} y = - 6)

Solution steps

[x y = - 4 3 x + 4 y = - 22]

Isolate

x

for

x y = - 4 : x = - \frac{4}{y}; y \neq = 0

Plug the solutions

x = - \frac{4}{y}

into

3 x + 4 y = - 22

For

3 x + 4 y = - 22

, subsitute

x

with

- \frac{4}{y} : y = \frac{1}{2}, y = - 6

Plug the solutions

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

into

x y = - 4

For

x y = - 4

, subsitute

y

with

\frac{1}{2} : x = - 8

For

x y = - 4

, subsitute

y

with

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

Verify solutions by plugging them into the original equations

Therefore, the final solutions for

x y = - 4, 3 x + 4 y = - 22

are

(x = - 8, x = \frac{2}{3}, y = \frac{1}{2} y = - 6)

x^{2} + y^{2} + 6 x + 2 y = 0, x + y = - 8

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

6 x + 3 y = 6, x y^{2} x + 4 y = 5 x y

g (x) = 2, x^{2} + x - 1 x = - \frac{1}{2}

f (x) = x^{2} - 2 x + 3, f (x) = - 2 x + 7