Final answer:
The given equations are written in slope-intercept form. Both equations have a similar slope but different y-intercepts.
Step-by-step explanation:
To analyze the solution set of the given system, we need to first write each equation in slope-intercept form. The slope-intercept form of an equation is y = mx + b, where m represents the slope and b represents the y-intercept.
For the equation 2x + y = 5, y can be isolated to get y = -2x + 5.
For the equation 3y = 9 - 6x, we can divide both sides by 3 to get y = -2 + 2x.
Both equations have a similar form of y = mx + b, where the slope (m) is -2. The main difference is the y-intercept (b), which is 5 for the first equation and -2 for the second equation.
Learn more about Equations in slope-intercept form