**Use row operations to solve a system with two Equations **

** **

Row operations can be used to rewrite a matrix. The goal is a matrix in the form

.

for systems with equations, respectively. Notice that there are 1s down the diagonal from upper left to lower right and 0s below the 1s. A matrix written this way is said to be in **row echelon form. **When these matrices are rewritten as systems of equations, the value of one variable is known, and the rest can be found by substitution. The following examples illustrate this method.