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→Basic Algebra: minor improvements
By using unknowns, algebra can go beyond individual number facts and express general relationships between ''sets'' of numbers. Thus, the equation above represents ''every pair'' of numbers that add up to 11:
By using unknowns, algebra can go beyond individual number facts and express general relationships between ''sets'' of numbers. Thus, the equation above represents ''every pair'' of numbers that add up to 11:
*x could be 4 and y could be 7
*x could be 4 and y could be 7,
*x could be 5 and y could be 6
*x could be 5 and y could be 6,
*x could be 10 and y could be 1.
*x could be 10 and y could be 1.
There are 12 such pairs of positive integers, but an infinite number of solutions to this equation.
There are 12 such pairs of non-negative integers, but an infinite number of solutions to this equation.
==Notes and references==
==Notes and references==