When graphed, the lines represented in the system of equations below will intersect in which quadrant?

3x - 2y = 0

4x+3y = -17

Alf and Tanner are having a workout competition. Whoever completes the most workouts in a month gets $25 from the other. Alf has already completed 4 workouts, whereas Tanner has finished 2 of them. Going forward, Alf has committed to completing 2 workouts per week, and Tanner has committed to completing 3 per week. At some point soon, the two friends will have completed the same number of workouts. How many workouts will that be?

Write a system of equations, graph them, and type the solution.

Miles is a professional fitness instructor who will be teaching classes at a local gym. To get certified as an instructor, he spent a total of $400. Miles will be earning a base salary of $80 per month from the gym, plus an additional $20 for every class he teaches. If Miles teaches a certain number of classes during his first month as an instructor, he will earn back the amount he spent on certification. How many classes will that take?

Write a system of equations that models this situation, graph it, and type the solution.

Emeka is a professional fitness instructor who will be teaching classes at a local gym. To get certified as an instructor, he spent a total of $500. Emeka will be earning a base salary of $100 per month from the gym, plus an additional $20 for every class he teaches. If Emeka teaches a certain number of classes during his first month as an instructor, he will earn back the amount he spent on certification. How many classes will that take?

Write a system of equations that models this situation, graph it, and type the solution.

This graph shows which of the following inequalities?

This graph shows a solution at its intersection, the point (1,-1). This solution could be the solution for which of the following systems of equations?