They run things a bit differently in Monsters world, so it makes sense that even football would have a different set of rules from the NFL.

In the Monsters Football League,

__each touchdown leads to ____x____ points and every field goal leads to ____y ____points__. There is no kick for points after a touchdown.

You know the scores from 2 matches that

Mike and Sulley's team played in.

__Match #1: __

3 touchdowns and 4 field goals, leading to 47 points

__Match #2:__

5 touchdowns and 2 field goals, leading to 55 points

Question:

In Monsters Football League, how many points is each touchdown and field goal worth? Hint: model this situation with a pair of simultaneous equations involving

*x* and

*y*.

Answer:

Each touchdown is worth

points.

Each field goal is worth

points.

Aligned with Common Core:

8.EE.8 - Analyze and solve pairs of simultaneous linear equations.

#### Hints

Let's get you some help in modeling one of the linear equations.

Look at match #1. 3 touchdowns and 4 field goals lead to 47 points, so we can write the following:

3x + 4y = 47

Where x is the number of points per touchdown and y is the number of points per field goal.