What is the best way to describe the solution of this system of equations? 2x - 5y = 8 5y = -2x + 8

2x - 5y = 8 (1)

5y = -2x + 8 (2)

re-write equation 2

5y = -2x + 8

2x + 5y = 8

so Now both equations are the same

infinite many solutions

Note that 5y = -2x + 8 is identical to 2x - 5y = 8.

The graphs of these two equations overlap, and thus your system of equations has infinitely many solutions.

question: how many people can she serve?

answer: she can serve 16.66666667 people. so she can only give 16 people a complete serving.

question: does she have enough ice cream for her guests?

answer: no. explanation: she only has enough for 16 people to have a full serving. however, she can give a 17th person a partial serving.

6mm^3 or .6cm^3

      216

      /   \

  36     6

  /   \     /

6     6   6

factor trees are nice.