The problem asks to solve the following system of equations: $y = -x + 3$ $x + y = -\frac{5}{2}$ using the graphing method.

1. Problem Description

The problem asks to solve the following system of equations:

$y = -x + 3$

$x + y = -\frac{5}{2}$

using the graphing method.

2. Solution Steps

The first equation is already in slope-intercept form, $y = mx + b$, where $m$ is the slope and $b$ is the y-intercept.

In this case, $y = -x + 3$ has a slope of $-1$ and a y-intercept of $3$.

We can rewrite the second equation in slope-intercept form as well.

$x + y = -\frac{5}{2}$

Subtract $x$ from both sides:

$y = -x - \frac{5}{2}$

$y = -x - 2.5$

This equation has a slope of $-1$ and a y-intercept of $-2.5$.

Since the slopes of both lines are equal, the lines are parallel.

Parallel lines do not intersect.

Therefore, there is no solution to the system of equations.

3. Final Answer

No solution.