# How to write a system of equation

### How to write a system of equations with 3 variables

Copy and complete the first four rows of the table using your notes as you find combinations that work. We need to make sure the second equation is correct. Insert the answers on the other side of the equal sign in another matrix. We use a vertical line to separate the coefficient entries from the constants, essentially replacing the equal signs. Note as well that we really would need to plug into both equations. Through a couple of different processes, you can manipulate the coefficient matrix in order to make the solutions easier to find. As we saw in the opening discussion of this section solutions represent the point where two lines intersect.

However, this is clearly not what we were expecting for an answer here and so we need to determine just what is going on. Solving a system of equations using a matrix is a great method, especially for larger systems with more variables and more equations. The total weight of his catch was pounds. This won't be easy to find, but play with your calculator until you come up with pounds. So, we need to multiply one or both equations by constants so that one of the variables has the same coefficient with opposite signs.

If fractions are going to show up they will only show up in the final step and they will only show up if the solution contains fractions. Look at the problem again. This will yield one equation with one variable that we can solve.

## System of equations problems and answers

This is easy enough to check. However, this is clearly not what we were expecting for an answer here and so we need to determine just what is going on. At any time during your review, you may test your knowledge of the material covered. When there is a missing variable term in an equation, the coefficient is 0. Number of Trout. Solving a system of equations using a matrix is a great method, especially for larger systems with more variables and more equations. In these cases we do want to write down something for a solution. You are trying to get to pounds of fish.

We are also going to show you how to work and check each example by each of the four methods. Example 1: Writing the Augmented Matrix for a System of Equations Write the augmented matrix for the given system of equations.

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