In Algebra "Substitution" means putting numbers where the letters are:
right arrow When we have: x − 2
right arrow And we know that x=6 ...
right arrow ... then we can substitute 6 for x: 6 − 2 = 4
Example: When x=2, what is 10/x + 4 ?
Put "2" where "x" is:
10/2 + 4 = 5 + 4 = 9
Example: When x=5, what is x + x/2 ?
substitute x=5 into x+x/2 becomes 5+5/2
Put "5" where "x" is:
5 + 5/2 = 5 + 2.5 = 7.5
Example: If x=3 and y=4, then what is x2 + xy ?
Put "3" where "x" is, and "4" where "y" is:
32 + 3×4 = 3×3 + 12 = 21
Example: If x=3 (but we don't know "y"), then what is x2 + xy ?
Put "3" where "x" is:
32 + 3y = 9 + 3y
(that is as far as we can get)
As that last example showed, we may not always get a number for an answer, sometimes just a simpler formula.
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