4x + 13y = 40
4x + 3y = -40
multiply second equation by -1
4x + 13y = 40
-4x - 3y = 40
add equations together
10y = 80
y = 8
put y in either original equation
4x + 3(8) = -40
4x + 24 = -40
subtract 24 from both sides
4x = 64
x=16
y=8
As three hours divided by 2 is 1.5 hours, we know that to find how far the person walks in hours, we simply have to double the distance the person walked in 1.5 hours.
2.4*2=4.8
The person walked 4.8 miles in three hours.
Does that make sense?
X= the number of adults
y=the number of children
Knenneth can´t afford more than $6000.
Therefore, the ineguality will be:
40x+15y≤6000
Answer: 40x+15y≤6000
We'll use rise over run to find the slopes of two of the sides of the triangle:

Because C is the rightmost point, we'll have it represent (x1,y1), and have A and B represent (x2,y2):
A to C
(-2,3) to (2,-1)

The slope of the line from A to C is -1.
B to C
(-3,-6) to (2,-1)

The slope of the line from B to C is 1.
These lines intersect at (2,-1), and they have negative reciprocal slopes of each other, which creates a perpendicular angle. This means that triangle ABC is a right triangle, and angle ACB is the right angle.