99 “in a football game, team a defeated team…

“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.
#button {
background-color: #F05A1A;
border: 5px;
border-radius: 5px;
color: white;
padding: 5px 5px;
text-align: center;
text-decoration: none;
display: inline-block;
font-size: 13px;
margin: 4px 2px;
cursor: pointer;
}

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6x+ y+3z=38
x – y = 0
x – 5z = 0