Download Solve the system: y = -2x + 9 and y = 3x

Functions
Lesson 2.1
Name______________
Topic: ______________________________________________________
Activity 1. Take Notes.
Activity 2.
Do 1 and 2 (Worksheet), and 11 and 13 on p. 71
1.
2.
11.
13.
Activity 3.
Take notes and do 3, 4 (worksheet) and 15, 17, 19 on p. 71.
Using TI-84 to solve systems by graphing.
Solve the system: y = -2x + 9 and y = 3x - 4
1. Enter the first equation into Y1.
2. Enter the second equation into Y2.
3. Hit GRAPH.
4. Use the INTERSECT option to find where the two
graphs intersect (the answer).
2nd TRACE (CALC) #5 intersect
Move spider close to the intersection.
Hit ENTER 3 times.
5. Answer: x = 2.6 and y = 3.8
3.
4.
15.
17.
19.
Activity 4.
Take notes and do 5, 9, 10 (worksheet) and21, 23 on p. 71
Use the substitution method to solve the system of equations.
4x - 3y = 11
x+y= 8
5.
9.
10.
21.
23.
Activity 5.
Study the following example and do 6, 7 (worksheet) and 25, 27, 29
on p. 71
Use the elimination method to solve the system of equations.
3x - 2y = 18
4x + 3y = -10
6.
7.
25.
27.
29.
Activity 6.
Take notes and do 11 (worksheet).
AMC Homes, Inc. is planning to build three- and four-bedroom homes in a
housing development called Chestnut Hills. Consumer demand indicates a
need for four times as many four-bedroom homes as for three-bedroom
homes. The net profit from each three-bedroom home is $15, 000 and from
each four-bedroom home is $18,000. If AMC Homes must net a total profit
of $17.4 million from this development, how many homes of each type
should they build?
Solution.
x = three bedroom homes
y = four bedroom homes
11.