Question

Noah plays football. His team's goal is to score

at least 15 points per game. A touchdown

is worth 6 points and a field goal is worth 3

points. Noah's league does not allow teams to

try for the extra point after a touchdown. The

inequality 6x + 3y = 15 represents the possible

ways Noah's team could score points to reach

their goal

. Is the ordered pair (6, -1) a solution

for the problem situation?

Answer 1

No

Explanation:

We can plug in the ordered pair (6,-1) into the equation. Remember that 6 is the x coordinate therefore we plug it in for x and that -1 is the y coordinate so we should plug it in for y.

6x+3y=6(6)+3(-1)=36-3=33

Since 33 is not equivalent to 15, (6, -1) is not a solution to the equation.