**Clearing a Column, or "Pivoting"**
Here is a step-by-step method that gives you the instruction for the row operation you need to obtain a zero in the pivot column.

**(1)** Next to the row you want to change, write the name of row you need to change on the left, and the pivot row on the right.

R_{2} | | R_{1} |

| | |

Row to Change | | Pivot Row |

**(2) ****Ignoring signs, **decide what **positive whole number **to multiply each row by so that the row you want to change and the pivot row have *the same numerical values in the pivot column*. In the situation at hand, the pivot column is

so you can accomplish this by multiplying the second row by 3 and the first by 8. Doing so gives the partial row instruction.

**(3) **If the two entries in the pivot column have the same sign, insert a minus (), but if they have different signs, insert a plus (+).

Here, we get the instruction:
3 R_{2} + 8 R_{1}.

**(4) **Now replace that row using the instruction.