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beccaisgreat beccaisgreat
  • 15-01-2017
  • Mathematics
Answered

help me substitution method define variables

help me substitution method define variables class=

Verified Answer :

dexteright02
dexteright02 dexteright02
  • 15-01-2017

\(\left \{ {{S=14+L} (I) \atop {S+L=124}(II)} \right.\)

Substitute (I) into (II), we have:
\(S+L=124\)
\((14+L)+L=124\)
\(14 + 2L = 124\)
\(2L = 124 - 14\)
\(2L = 110\)
\(L = \frac{110}{2}\)
\(\boxed{L = 55}\)

Replace (II) in (I), we have:
\(S=14+L\)
\(S = 14+ 55\)
\(\boxed{S = 69}\)

Answer:
each student sell: 
Lori = 55 pizzas
Steve = 69 pizzas


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