At the high school championship game, the cougars beat the lions 31 to 17. the total score came from 14 scoring plays. the scoring plays consisted of touchdowns, extra-point kicks, and field goals. touchdowns are worth 6 points each, extra-point kicks are worth 1 point each, and field goals are worth 3 points each. the number of touchdowns was equal to the number of extra-point kicks. write a linear system to represent this game. use matrices to then solve the system. how many touchdowns, extra-point kicks, and field goals occurred in the game?

Number of touchdowns = 2

Number of extra points = 2

Number of field goals = 0

Step-by-step explanation:

Let the number of touchdowns be "x", number of extra points be "y" and number of field goals be "z".

It is given that number of touchdowns = number of extra points.

Thus, x=y

Total points scored are 14.

Points scored by touch down are = (6)(x)

Points scored by extra points are = (1)(y) = x

Points scored by field goals are = (3)(z)

Thus, the equation becomes

In matrice form, they can be represented as;

now, x and z cannot be negative or fraction, only positive integers. Thus inserting values of z from 0 to 4,

The correct solution is x=y=2 and z=0.

idk what the answer is but for the points

step-by-step explanation:

the first one and the second one that's the answer

the central idea is that:

individuals should refuse to cooperate with institutions they believe unjust.

thoreau felt  that governments were more often agents of corruption than justice, even democracies, and that just because the majority feels a certain way does not make it just or correct in absolute terms. he uses the fact that slavery exists in our democracy to support this idea.

he goes on to say that, as a result, people should live true to their own internal laws regarding right and wrong, as a product of reflection and a moral life, rather than following every law that society imposes. 

step-by-step explanation: