"SLC-S22W3//Equations and systems of equation."

Hello friends,am happy to be in this class , because my teacher here has reminded me of my sweetest aspect of mathematics which is equations ,and the way my teacher started the introduction was understandable,that is from algebra letting us to know that it includes the usage of different equations, symbols and formulas for solving problems,so let's do it together.

*. Task 1

• Explain difference between linear and non linear systems of equations. Provide examples of each type of system of equation and describe their general forms.
  ANSWER
  In a simple term – A linear system of equation is an equation of a straight line, It can equally be considered to be a set of two linear equations with two variables. This type of equation has no exponential number or a square root on it. It also produces a straight line graph when plotted on a graph chart.
  Example : X + Y = 5
  2X – Y = 1
  In the other hand a non linear systems of equations is an equation that is not linear, in most cases this type of equations has either exponential numbers or a square roots or it may contain both.
  Example : x2 + y2 =9
  x2 – y =9
  • Task 2
• Describe any one method for solving system of linear equations and share at least one step by step algebric example. (It should be other than substitution, elimination and graphing method)
  ANSWER
  Cramer’s rule
  In using Cramers rule for solving linear equations we make use of the values of the variables to form a determinants of matrics.
  • Task 3
• You need for solving following system of linear equations:
  (a) x + 2y = 7
  3x - 2y = 5
  (b) 4x + 6y = 2
  x - 2y = 3

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Cc: @khursheedanwar