The problem is to solve the system of two linear equations by the graphing method. The given equations are: $y = -5x + 3$ $2y + 10x = 6$

1. Problem Description

The problem is to solve the system of two linear equations by the graphing method. The given equations are:

$y = -5x + 3$

$2y + 10x = 6$

2. Solution Steps

First, we need to express both equations in slope-intercept form ($y = mx + b$). The first equation is already in slope-intercept form:

$y = -5x + 3$

Now, let's rewrite the second equation in slope-intercept form:

$2y + 10x = 6$

$2y = -10x + 6$

$y = -5x + 3$

We observe that the two equations are identical. This means that they represent the same line. Therefore, there are infinitely many solutions since every point on the line is a solution.

3. Final Answer

The system of equations has infinitely many solutions. The two equations represent the same line, $y = -5x + 3$.