find the point where the two lines intersect for y>3x+1 and y<=2x+5

Answer 1

To find the point of intersection between the two lines, we need to set the two equations equal to each other since they intersect at that point.

First, let's set the two equations equal to each other:
3x + 1 = 2x + 5

Next, let's isolate the variable x:
3x - 2x = 5 - 1
x = 4

Now, let's substitute the value of x into one of the original equations to find the corresponding y-coordinate:
y = 2(4) + 5
y = 8 + 5
y = 13

Therefore, the point of intersection for the two lines is (4, 13).