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.

hello :

70y^8 + 30y^6 = 2 ( 35 y^8 + 15y^6)

the lenght is : 35 y^8

the width is : 15y^6

answer: i guess 105 degrees?

step-by-step explanation: