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You plug in what the variable is equal to for that variable then you will be able to finish the problem
You use substitution when you can solve for one variable in terms of the others. By substituting, you remove one variable from the equation, which can then be solved. Once you solve for one variable, you can use substitution to find the other.
y=2x+9 and y=x+6
When you construct and use a table to solve a problem, you are using a numerical approach.
When you analyze a problem you look it over which is what analyzing means. You look over the problem and then you solve it. When you solve a problem you solve it and you use certain steps and solve it but of course everyone has there ways to solve a problem but some people have ways to solve it by just analysing it. That is the difference.