SOLUTION: We have to figure out the equation and solve. Erin's test score is three points lower than Sarah's score. The sum of their scores is 197. What is Erin's test score? E= S-3

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Question 884883: We have to figure out the equation and solve.
Erin's test score is three points lower than Sarah's score. The sum of their scores is 197. What is Erin's test score?
E= S-3
E+S= 197

Don't know what to do next.

Found 2 solutions by JulietG, MathTherapy:
Answer by JulietG(1812) About Me  (Show Source):
You can put this solution on YOUR website!
You're on the right track.
Take the value of E from the first equation and plug it into the second.
E+S =1 97
(S-3) + S = 197
Add
2S - 3 = 197
Add 3 to each side
2S = 200
Divide each side by 2
S = 100
If Sarah's score is 100 and Erin's is 3 points less, Erin's score = 97
100 + 97 = 197

Answer by MathTherapy(10555) About Me  (Show Source):
You can put this solution on YOUR website!

We have to figure out the equation and solve.
Erin's test score is three points lower than Sarah's score. The sum of their scores is 197. What is Erin's test score?
E= S-3
E+S= 197

Don't know what to do next.

system+%28E+=+S+-+3________eq+%28i%29%2C+E+%2B+S+=+197______eq+%28ii%29%29
Substitute S - 3 for E in eq (ii), and then solve for S, or Sarah's score. Then determine Erin's.
OR
system%28S+=+E+%2B+3________eq+%28i%29%2C+E+%2B+S+=+197______eq+%28ii%29%29
Substitute E + 3 for S in eq (ii), and then solve for E, or Erin's score.
OR
system%28E+=+S+-+3____E+-+S+=+-+3_______eq+%28i%29%2C+E+%2B+S+=+197______eq+%28ii%29%29
Add eqs (i) and (ii) to determine E, or Erin's score.