The problem asks to solve a system of linear inequalities by graphing: $5x + y > 6$ $x - 2y > 7$ Also, it asks what is the first step when graphing a system of linear inequalities.

1. Problem Description

The problem asks to solve a system of linear inequalities by graphing:

$5x + y > 6$

$x - 2y > 7$

Also, it asks what is the first step when graphing a system of linear inequalities.

2. Solution Steps

To graph a system of linear inequalities, the first step is to replace the inequality symbols with an equals sign and graph the corresponding lines. This gives the boundary lines of the regions that satisfy the inequalities. The options given are:

A. Solve the system of inequalities using the substitution method.

B. Replace the inequality symbol by an equals sign and graph the line.

C. Choose a test point to determine which region will be shaded.

Option A is incorrect since we are graphing the inequalities, not solving them using substitution.

Option B is the correct first step, as we need to graph the boundary lines first.

Option C is performed after graphing the lines to determine which side of the line to shade.

The first step when graphing a system of linear inequalities is to replace the inequality symbol with an equals sign and graph the line.

3. Final Answer

Replace the inequality symbol by an equals sign and graph the line.