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  • It is 2012 in this area. There are roads here. People can sometimes get run over on these roads.
  • there have been 3 major safety innovations in cars. There have been 4 major innovations in texting.
  • Better texting has led to more car crashes, and innovations in cars have lead to less. There have been 27 people run over here recently total.
  • In the future year of 2087 There have been 6 major innovations in texting and 6 major safety innovations in cars.
  • There have been 18 people run over around here recently.
  • We can get the equations 4t+3c=27 in 2012 and 6t+6c=18 in 2087.
  • We can use substitution to solve them.
  • first of all, we can simplify the second equation. dividing everything by 6 would get you the equation c+t=3. We can get either c or t for this equation. We'll solve for t here.
  • then substitute it into the other equation. 4t+3(3-t)=27. This solves to 4t+9-3t=27, and then t+9=27. subtract 9 from both sides and you have t=18.
  • then, just substitute t in for c. 6(18)+6c=18. meaning 108+6c=18. subtract 108 from both sides. This means 6c=-90. divide both sides by six and you have c=-15.
  • to do this, subtract t to both sides of the equation, giving you c=3-t.
  • so there. a major advancement in texting causes 18 more recent car crashes, and a major advancement in the safety in cars causes 15 less car crashes. This was how to solve using substitution.
  • although none of the data I originally used was accurate, as both texting AND cars both became obsolete decades before 2087!
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