The point where the lines intersect is the solution to the simultaneous inequalities y>3x+1 and y≤2x+5

Answer 1

To find the solution to the simultaneous inequalities y > 3x + 1 and y ≤ 2x + 5, we need to find the point where the two lines intersect.

We can start by graphing the two lines:

For the line y > 3x + 1:
1. Plot the y-intercept at (0, 1).
2. Since the coefficient of x is positive (3), the line has a positive slope. From the y-intercept, go up 3 units and right 1 unit to plot another point. Connect the two points to draw the line.

For the line y ≤ 2x + 5:
1. Plot the y-intercept at (0, 5).
2. Since the coefficient of x is positive (2), the line has a positive slope. From the y-intercept, go up 2 units and right 1 unit to plot another point. Connect the two points to draw the line.

The point where the two lines intersect is the solution to the simultaneous inequalities.