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# Systems of Equations using the Substitution Method

## Original question text:

Substitution:

X + Y = 8

Y = X + 4

Thank you so much!!!!

Algebrator can easily solve problems such as the one you posted on Yahoo Answers.

You start by entering it in an intuitive math editor. You may enter each equation on a line of its own and the software

will solve this "system of two equations in two unknowns".

An example using your system of equations is described below.

To control the method by which the system is solved, use the drop-down menu "Solution->Settings", where elimination, substitution and Cramer rule are shown as options.

For example to solve a system of equations using the Substitution method, enter the equations into the software and select Substitution as the solution method.

In order to create an equation containing only one variable, we need to substitute the right side of the first equation for Y in the second equation.

Explanation for this (or any other) step is just a click away.

Our software also provides an appropriate flash demo for this type of problem - "Solving systems of equations".

Algebrator now groups all variable terms on one side, and all constant terms on the other side.

It is important to note that the "visibility" button allows us to see more or less steps involved in the process.

In order to eliminate X in the first equation we need to substitute the right side of the second equation for X in the first equation.

The given system of equations is consistent and independent.

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