Rigby and Eleanor's combined score on the systems of equations test was 181. Rigby scored 9 more poi

Discussion in 'Calculator Requests' started by math_celebrity, Jan 23, 2021.

  1. math_celebrity

    math_celebrity Administrator Staff Member

    Rigby and Eleanor's combined score on the systems of equations test was 181. Rigby scored 9 more points than Eleanor. What were Eleanor and Rigby's scores?

    Let Rigby's score be r
    Let Eleanor's score be e

    We're given two equations:
    1. r = e + 9
    2. e + r = 181
    Substitute equation (1) into equation (2):
    e + (e + 9) = 181

    Group like terms:
    2e + 9 = 181

    To solve this equation for e, we type it in our search engine and we get:
    e = 86
     

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