One equation is Y - 11 = -7/2(x + 3), while the other is y + 3 = -7/2(x - 1).
The cosine and cotangent values of angle Ф are

and -1. When the terminal side of an angle intersects the unit circle at point (x, y), then: The x-coordinate corresponds to the cosine of the angle formed with the positive x-axis and the terminal side, while the y-coordinate corresponds to the sine of that angle. Depending on the signs of x and y coordinates, we can determine the quadrant in which the angle resides.
x = 27 + 3 √ 129/ 4, 27 − 3 √ 129/ 4
Please note: the entire equation mentioned is divided by 4, not only the last term.
x approximates to 15.26836251, − 1.76836251
That concludes my response. I hope this is helpful. You will still need to work on finding y and z, which can be quite challenging:)
Her phrasing suggests that she would sell numerous water bottles and just a single iced tea. The accurate equation should be 1.25x + 1.49y = 100, as she may offer varying quantities of both.