The local animal shelter throws a dog-themed party. humans, h, and dogs, d are both invited. the event space imposes two restrictions on the party: there can only be 120 dogs and humans combined, and, to keep things manageable, there must be 1 human to every 3 dogs.
this situation can be represented by a system of two linear equations. one of these equations is given. write the second equation in the box.

The system of equations can be expressed like

Step-by-step explanation:

System of Two Linear Equations

It refers to situations where conditions are given in the form

Where x and y are the unknown variables and a,b,c,d,e,f are known constants

The problem describes a situation where one event space imposes two restrictions on a dog-themed party. The first one is there can only be 120 dogs and humans combined. Being h the number of humans, and d the number of dogs, then

The other condition is there must be 1 human to every 3 dogs, we can model it by

Rearranging:

The system of equations can be expressed like

Note: The solution of the system is h=30 humans and d=90 dogs

3+x

step-by-step explanation: