Maddie S.

asked • 06/24/15

Word problem, Math, Matrix unit

"In a football game, Team A defeated Team B by a score of 28 to 10. The total points scored came from a combination of touchdowns, extra-point kicks, and field goals, worth 6, 1, and 3 points, respectively. The numbers of touchdowns and extra-point kicks were equal. There were five times as many touchdowns as field goals. Find the number of touchdowns, extra-point kicks, and field goals scored."
 
so if X is touchdowns, Y is extra point kicks, and Z is field goals i was able to get the following equations... then I'm stumped.
 
6x+ y+3z=38
x - y = 0
x - 5z = 0

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