Algebra 4.2 Solving Systems of Equations with Substitution Method

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randycapped
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264816
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Algebra 4.2 Solving Systems of Equations with Substitution Method
Updated:
2014-03-03 02:34:28
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Algebra Substitution
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Substitution Method
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  1. The 5 steps for solving systems using the substitution method.

    1. _______ one of the variables from one of the equations.

    2. _______ the quantity found in step 1 into the other equation.

    3. _______ the resulting equation.

    4.________ the value from step 3 into either one of the original equations. Then ______ for the remaining variable.

    5. _______ the solution in both of the original equations.
    • 1. Isolate
    • 2. Substitute
    • 3. Solve
    • 4. Substitute; Solve
    • 5. Check
  2. If the solution to the set of equations is x=4 and y=6, what is the correct way to write the answer?
    { (4,6 }
  3. If you come to a solution that isn't equal, such as 4 = 6, how should the answer be written?

    This means that the solution set represents ________ lines.
    CONTRADICTION; SYSTEM IS INCONSISTENT

    { }  (empty set)

    parallel
  4. If you come to a solution that is equal, such as 8=8 and you got this after y = -2x + 4 was the solution to the first equation, how should the answer be written?

    This means that the solution set represents the ___________ line.
    IDENTITY; EQUATIONS ARE DEPENDENT

    {x,y | y = -2x + 4}

    • same
  5. Always clear _______ first.
    fractions.
  6. One number is 3 less than twice the other number. If the sum of two numbers is 27, find the numbers.

    1. Let ____ equal one number.
    2. Let ____ equal the other number.
    3. Write the equation of one number as compared to the other. Such as: x = ___y - __
    4. Use the substitution method.
    • 1. x
    • 2. y
    • 3. 2; 3   ( x= 2y - 3)
    • 4. 2y - 3 + y = 27
  7. The sum of the measures in a triangle is _____ degrees.
    180
  8. Two angles are complimentary if the sum equals _______ degrees.
    90
  9. Two angles are supplementary if the sum equals _______ degrees.
    180

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