Lesson Objective: You will be able to solve a system of linear and quadratic equations,
graphically and algebraically
Algebraically
imagine:
Ker on a
• Write both equations in standard form if not already ( y = ...)
• Set both equations equal to each other
• Solve for x.
• Substitute the x-value in to find y-value(s)
• Write the solution(s) as coordinate points, or x = y =
III. Word problem
application
гk
• work
Since opening day, attendance at Pool A has increased steadily while attendance at Pool B first rose then
fell. Equations modeling the daily attendance (y) and number of days since opening day (x) are shown below.
ary
Pool A: y = 28x + 4 Pool
B: y = - x2 + 39x + 64
1. On what day(s) was the attendance the same at both
pools?