Lesson 3 - Systems of linear Equations in two variables

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7 Terms

1
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SYSTEM OF EQUATIONS

  • is a set of equations that involve the same variables

  • two or more equations that have the same variables

2
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SYSTEM OF LINEAR EQUATIONS

  • a system of equation in which each equation is linear

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A SOLUTION OF A SYSTEM

  • is an assignment of values for the variables that makes each equation in the system true.

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TO SOLVE A SYSTEM

  • means to find all solutions of the system

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1.SUBSTITUTION METHOD
2.ELIMINATION METHOD

  • methods in solving systems of linear equations

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1.SOLVE FOR ONE VARIABLE
2.SUBSTITUTE
3.BACK-SUBSTITUTE

  • substitution method

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1.ADJUST THE COEFECIENTS
2.ADD THE EQUATIONS
3.BACK-SUBSTITUTE

  • elimination method