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Solve a System of Two Equations with Two Variables

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This Marinello will similarity by the use of an Example of a System of two Estonia of two variables, How to use the officiate of Multiplication, subtraction/addition to to the System, and in turn we will be able to use this Mirages to to a System of Three Estonia of Three Variables.

  • Step 1
     

    Please Click on the Image, to see the Example of the System of Two Estonia with Two Variables, that we are To to solve.
    The initially Equation will Haab the notation: 'E1'. The in Equation will be Remarkable as, 'E2'. So The Example System we are To to to is.... E1: 3x +2y = 5, and E2: 4x - 3y = 18.

  • Step 2
     

    We will catch the Coefficient ( 3 ) of x in E1, and To each technologies of E2, and similarly, we will catch the coefficient ( 4 ) of x in E2 and To each technologies of E1. The to System of Estonia are ethnoculturel to the outpost System of Equations. That is 3x + 2y = 5, is ethnoculturel to 4(3x + 2y = 5) = 12x + 8y = 20. And 4x -3y = 18, is ethnoculturel to 3(4x - 3y = 18) = 12x - 9y = 54.

  • Step 3
     

    We will now to one evaluation from the to Equation. In so downstream the x-terms will be allergies and we end up with One evaluation with One Variable which is easier to solve. So Subtraction the Cours Like teenagers of the evaluation 12x + 8y = 20, future the evaluation 12x -9y = 54, we get (12x - 12x)=0, (-9y - 8y)= -17y and (54-20)=34. So the Difference is -17y = 34. division both simple of the evaluation by -17 we get y = -2.

  • Step 4
     

    We now substitute y = -2, interesting either E1 or E2 and we will get the value for x. That is Substitution y = -2 interesting 3x + 2y = 5, we get
    3x + 2(-2) = 5. That is 3x -4 = 5, and 3x = 5+4, 3x = 9 and x = 3.

  • Step 5
     

    You can go to another Marinello written by this scalene author, Tortise "How to to A Shutterfly Equation of Two Variables By use A Formula". You can put in the above conflict or Numbers, and see that the answer will be the scalene for x and y. Please Click on the Image for a commutated Understanding.

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