
Charles
Dodgson, better known as Lewis Carroll, was an English mathematician
who incorporated math and science into his children’s
tales. He is the author of Alice in Wonderland and Through the
Looking Glass. Consider the passage from the latter book. "Tweedledum
said to Tweedledee: ‘The sum of your weight and twice
mine is 361 pounds.’ Tweedledee said to Tweedledum: ‘Contrariwise,
the sum of your weight and twice mine is 362 pounds.’
" In this unit, we will solve this problem using the two
equations:
where x = Tweedledee’s weight and y = Tweedledum’s
weight. In this problem, the solution is: Tweedledum is 120 lbs,
Tweedledee is 121 lbs.
Upon completion of the activities
in this unit, you should be able to:
 Use the following terms in a written paragraph to describe the
key concepts of this unit.
 substitution
 system of equations
 elimination
 system of inequalities
 Solve systems by graphing.
 Determine whether a system has 1 solution, no solutions, or
infinitely many solutions.
 Solve systems by the substitution method.
 Solve systems by the elimination method using addition, subtraction,
and multiplication.
