in super bowl 1, on Jan 15, 1967, the green bay packers defeated the Kansas city chiefs by a score of 35 to 10. The total points scored came from a combination of touchdowns, extr point kicks, and field goals, worth 6, 1 and 3 points respectively. The numbers of touchdowns and extra point kicks were equal. There were 6 times as many touchdown as field goals.

A.) Set up a system of linear equations to find the numbers of touchdowns, extra point kicks and field goals that were scored.

B.) Solve the system

thanks

You have to assign some letters to your variables.

I would do as follows:

Let t = number of touchdowns
Let e = number of extra point kicks
Let f = number of field goals.

Now, since the number of touchdowns is equal to the number of extra point kicks, t = e.

Then, there are 6 times as many touchdown as field goals, \frac{t}{6} = f If you divide t by 6, you should have the number of field goals, that is f.

Now, The score for each set of combinations is t*6, e*1 and f*3.

Putting that in a matrix form will give you:

\(t\,\,e\,\,f \) \(6 \\ 1 \\ 3\) = 35

Now, replace the variables so that you have only one variable. For example, you can replace 't' by 'e'. You can replace 't' by '6f', etc. Find some way so that when you expand the matrix, you have a single variable. From that, you'll be able to solve for the rest.

Hope it helped! :) Post back your answer.