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

Jun 15, 2018

#### 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 $x$.