In a pen of goats and chickens there are 25 heads and 90 feet. how many goats and chickens are in the pen.

5 chickens, 20 goats

Step-by-step explanation:

We can set up two equations and use substitution

There are 25 total goats and chickens, so

Goats have 4 feet and chickens have two, so

By solving for G in the first equation,

We can now use substitution,

We have 5 chickens, so we have 20 goats.

Let's double check:

It checks out!

x=-2

infinite number of lines, so there is an infinite number of equations.

step-by-step explanation:

there are an infinite number of line that passes through the point (-2,5)

x=-2   is one line that passes through the point

y = 5 is another line that passes through the point

(these two lines are perpendicular to each other).

since the number of   numbers are infinite and the slope is the ratio of two numbers,(change in y over change in x) we can have an infinite number of slopes.     our only condition is that it passes through the point (-2,5)

step-by-step explanation: