Final Answer:
The boundary line for each equation is y = 3x+1.
Step-by-step explanation:
To solve the given equation, it is important to understand the concept of linear equations in two variables. A linear equation in two variables is an equation that can be written in the form of ax + by = c, where a, b, and c are constants and x and y are the variables. In this equation, the boundary line is the line that can be formed by the points where the equation is equal to zero, i.e. any point (x,y) such that ax + by = 0.
The equation y<2/3x+1 can be written in the form ax + by = c, where a = -2, b = 3 and c = 1. This equation can be rewritten as -2x + 3y = 1. The boundary line for this equation is the line -2x + 3y = 0, which can be written as y = 3x+1.
Similarly, the equation y<3x+1 can be written as -3x + 3y = 1, and the boundary line for this equation is the line -3x + 3y = 0, which can be written as y = 3x+1. Thus, the boundary line for both the equations is y = 3x+1.