Mark is treating his family to ice cream. He buys 4 sundaes and 3 cones for a total of $26. Brian also buys ice cream for his family. His total is $29 for purchasing 2 cones and 5 sundaes. Determine the system of equations that can be used to find the cost of one sundae, s, and the cost of one cone, c.

there are lots of ways.   pick's theorem tells us if the vertices are lattice points the area a is

a = b/2 + i - 1

where b is the number of boundary lattice points and i is the number of interior lattice points.

in the figure i count b=16, i=50 so

a = 8 + 50 - 1 = 57

let's try the shoelace formula.   the area is half the sum of the cross products of the sides.  

a(-2,6)   -2(2)-6(-5) = 26

b(-5,2)   -5(-3) - 2(-2) = 19

c(-2,-3) -2(-3) - (-3)(4) = 18

d(4,-3)   4(3) - (-3)(5) = 27

e(5,3)   5(3) - 3(1) = 12

f(1,3)     1(6) - 3(-2) = 12

a(-2,6)

each of the cross products is twice the area of the triangle with the associated side and one vertex the origin. so the area of abo=26/2=13.

area = (1/2) (26 + 19 +   18 + 27 + 12 + 12) = 57

that checks!

look a the sides they are perpendicular

not me

step-by-step explanation:

i wish i did i would like to get a desert ghost ball python

2: 10

step-by-step explanation: