What is x-y=-6,x^2-y=-4 ?

The solution to x-y=-6,x^2-y=-4 is

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x-y=-6,x^2-y=-4

x - y = - 6, x^{2} - y = - 4

(x = - 1, x = 2, y = 5 y = 8)

Solution steps

[x - y = - 6 x^{2} - y = - 4]

Subtract the equations

x - y = - 6

x - y - (x^{2} - y) = - 6 - (- 4)

Simplify

- x^{2} + x = - 2

Solve

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

Plug the solutions

x = - 1, x = 2

into

x - y = - 6

For

x - y = - 6

, subsitute

x

with

- 1 : y = 5

For

x - y = - 6

, subsitute

x

with

2 : y = 8

Verify solutions by plugging them into the original equations

Therefore, the final solutions for

x - y = - 6, x^{2} - y = - 4

are

(x = - 1, x = 2, y = 5 y = 8)

6 x^{2} + 7 x - 3 = 0, x_{1} = x_{2}

x - y = 2, 2 x^{2} + 9 y^{2} = 23

a + b = 4, a^{2} + b^{2} = 2

\frac{1}{2} x + \frac{1}{3} y = 2, \frac{5}{x} - 2 y = \frac{17}{3}

x + 3 y = 1, 3 x^{2} + 3 y^{2} = 43