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Solving for variables using 3 different equations (simultaneous equations)

  1. Dec 7, 2009 #1
    1. The problem statement, all variables and given/known data

    Solve for A, T1 and T2.

    Equa 1) T1 + 25.0a = 245
    Equa 2) T2 − 10.0a = 98.0
    Equa 3) T1 − T2 − 80.0a = 78.4

    2. Relevant equations

    As above.

    3. The attempt at a solution

    I isolated a in the first equation:

    a = (245-T1)/25

    and T2 in the second equation:

    T2 = 98 + 10(245-T1)/25

    And when subbing these values in I end up getting an answer WAY off for T1. Any help would be highly appreciated as I feel like i'm just doing improper calculations with my fractions...
     
  2. jcsd
  3. Dec 7, 2009 #2

    Mark44

    Staff: Mentor

    Solve for T1 in equation 1 and for T2 in equation 2. Both T1 and T2 will be in terms of a. Substitute for T1 and T2 in equation 3, and solve for a. After you get a, you can get T1 and T2.
     
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