Consider the following pair of equations: y = −2x + 8
y = x − 1

Explain how you will solve the pair of equations by substitution. Show all the steps and write the solution in (x, y) form.

Y = -2x + 8 , y = x - 1 . they both equal y so you can plug them in to equal eachother . so now you have x - 1 = -2x + 8. get x on one side by itself. so change the - on the -2 and add. now you have 3x - 1 = 8 . add 1 to both sides to get rid of it. now you have 3x = 9 . divide both sides by 3. and x = 3 . now plug x into either equation . (the second is easier) so y = 3 - 1 . so y = 2 . (3,2)

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.