Solve system of equations using substitution:
1) 2x - y = 16
2y - x = -8
Assign two variables and equations. Solve.
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?
1) 2x-y=16 -2y-x=-8 You need to solve on of the equations for x or y. I will solve the first equation for y. 2x-y=16 -y=-2x+16 y=+2x-16 Then you can substitute that y value for the y value in the second equation (2y-x=-8) can be written as 2(2x-16)-x=-8 since y=2x-16. then you solve for x. 4x-32-x=-8 3x=24 x=8 therefore y=0 since 2(0)-8=-8 I will complete the second part of the question either in the comments or a new answer later when I have more time.
