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

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

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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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