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

1 Answer
Jun 15, 2018

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#.