Question

How do you solve systems of equations using the substitution method?

Answer 1

Please see below.

Explanation:

I assume you are interested in linear equations. In general you need `n` equations if you have `n` variables.

Let us have `3` equations and `3` variables `x,y` and `z`. Now pick up an equation with `x` and segregate it say `x` in terms of `y,z`. When we put this value of `x` in two other equations we get two equations in `y` and `z`.

We can now find `y` in terms of `z` say using second equation and when we put in third equation we get value of `z`.

Once `z` is known, it is easy to find `y` and then `x`.