What is the solution of the system using the substitution method?

y + 7 = 3x
6x - 2y = 12

Substitute y = 3x - 7 for y in the second equation.

6x - 2(3x - 7) = 12

6x - 6x + 14 = 12

14 = 12? Incorrect. That means no solution.

Period is the time it takes for one “cycle” to complete. in the parent sine function, period is 2*pi since sin(0) = 0, sin(pi/2) = 1, sin(pi) = 0, sin(3pi/2) = -1, and sin(2pi) = 0. at that point, the sequence repeats itself. i’m not sure if your graph is similar to the sine function since you didn’t provide a picture, but you can find the period by looking at a graph.