Question

Asked Sep 12, 2019

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X+y+1=0

X^{2}+y^{2}+6y-x=-5

Solve nonlinear equation and graph

Step 1

x + y + 1=0

hence, y = - (x + 1)

Step 2

Let substitute for y in terms of x in the second equation:

x^{2 }+ y^{2 }+ 6y - x = -5

Or, x^{2 }+ [-(x + 1)]^{2 }+ 6[-(x + 1)] - x = -5

Or, x^{2 }+ x^{2 }+ 2x + 1 - 6x - 6 - x = -5

Or, 2x^{2 } - 5x - 5 = -5

Or, 2x^{2 } - 5x = 0

Step 3

Hence, x(2x - 5) = 0

hence, x = 0 or x = 5/2

Hence, y = - (x + 1) = -1 or -(5/2 + 1...

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