Asystem - f(x, y). -gix. y) is given. solve the equation dy gixy) to find the to find the trajectories of the given system. use a computer system or graphing calculator to construct a phase portrait and direction field for the system, and thereby identify visually the apparent character and stability of the critical point(0, 0) of the given system. = - 4y (4+5x2 + 4y? ) y = x(4+ 5x2 + 4y? ) the general solution of the system is =c, for c> 0. (type an expression using x and y as the variables.) enter your answer in the answer box and then click check answer. parts 2 clear all check answers remaining

answer: answer

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d, x=8

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simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.

g

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i think the answer is seven, for if i'm being useless °ω°

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