In Super Bowl I, the Green Bay Packers defeated the Kansas City chiefs by a score of 35 to 10. The total points came from 13 different scoring plays, which were a combination of touchdowns, extra point kicks, and field goals, worth 6, 1, and 3 points respectively.The same number of touchdowns and extra point kicks were scored. There were six times as many touchdowns as field goals. How many touchdowns, extra point kicks, and field goals were scored during the game?
We have to solve this using Gaussian Elimination and by using the variables x, y, and z I have determined that one for the 3 equations is 6x+6y+z=13.
The total points are not 13, but 35+10 = 45. So, using x,y,z for the scoring plays in the same order as described above,
6x+y+3z = 45
x = y
x = 6z
You certainly don't need elimination for this, since the substitutions are so easy.