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Systems Of Equations That Are Not Linear Assignment Help

A system of nonlinear equations is two or more equations, at least one of which is not a linear equation. A system of equations where one or more equations involved is not a line. There are three possible outcomes that you may encounter when working with System of Equation that are not linear:

  • a finite number of solutions
  • no solution
  • infinite solutions

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Example for solving a nonlinear system by Elimination:

x2 + y2 = 4 (1)

2x2 - y2 = 8 (2)

Adding both equations 1 and 2 we get,

x2 = 4

x= -4,+4

for y substituting back into equation (1)

If x=2

22 + y2 = 4

y2 = 4

y = 0

if x= -2

(-2)2 + y2 = 4

y2 = 0

y = 0

{`The solution set {(2,0) and (-2,0)}`}

Graphical approach:

Visualizing the types of graphs involved in a nonlinear system helps predict the possible numbers of ordered pairs of real numbers that may be in the solution set of the system.

Systems Of Equations That Are Not Linear

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