Question

Jack and Cameron are playing a game of paper football. By their rules, you can score a 5-point touchdown or a 7-point touchdown. In the game, there have been 13 touchdowns scored for a total of 71 points. How many of these touchdowns were 7-point touchdowns?

Assign two variables and equations. Please solve.

Answer 1

x=5 pointn
y=7point
x+y=13
5x+7y=71
solve

multiply first equaiton by -5 and add
-5x-5y=-65
5x+7y=71 +
0x+2y=6

2y=6
divide 2
y=3
sub

x+y=13
x+3=13
x=10

10 five point touchdowns
3 seven point touchdowns