Tuesday, May 11th
Bell Ringer: Use the calculator to solve this system of equations by
graphing
1022
1
xy
xy
Bell Ringer Answer
Let’s use the graphing calculator
Systems Test Tomorrow
10 questions– Solving by graphing using the calculator– Solve by substituion– Solve by linear combinations– Solve by any method you want– Solve word problems
Review Session Today
After school in my room
Candy will be provided!!!!!!!!
Example #1
A landscaping company placed two orders with a nursery. The first order was for 13 bushes and 4 trees, and totaled $487. The second order was for 6 bushes and 2 trees, and totaled $232. The bills do not list the per-item price. What were the costs of one bush and of one tree?
What are the variables?A landscaping company placed two orders
with a nursery. The first order was for 13 bushes and 4 trees, and totaled $487. The second order was for 6 bushes and 2 trees, and totaled $232. The bills do not list the per-item price. What were the costs of one bush and of one tree?
b= Price of one bush t= Price of one tree
Lets write the first equationA landscaping company placed two orders
with a nursery. The first order was for 13 bushes and 4 trees, and totaled $487. The second order was for 6 bushes and 2 trees, and totaled $232. The bills do not list the per-item price. What were the costs of one bush and of one tree?
Lets write the first equationA landscaping company placed two orders
with a nursery. The first order was for 13 bushes and 4 trees, and totaled $487. The second order was for 6 bushes and 2 trees, and totaled $232. The bills do not list the per-item price. What were the costs of one bush and of one tree?
b13 t4 487
Lets write the second equation
A landscaping company placed two orders with a nursery. The first order was for 13 bushes and 4 trees, and totaled $487. The second order was for 6 bushes and 2 trees, and totaled $232. The bills do not list the per-item price. What were the costs of one bush and of one tree?
Lets write the second equation
A landscaping company placed two orders with a nursery. The first order was for 13 bushes and 4 trees, and totaled $487. The second order was for 6 bushes and 2 trees, and totaled $232. The bills do not list the per-item price. What were the costs of one bush and of one tree?
b6 t2 232
Let’s Look at our system
23226
487413
tb
tb
Now, How can we solve this?
• Graphing
•Substitution
•Linear Combinations
Graphing
It is best to use graphing when one variable is solved for in both equations….
23226
487413
tb
tb
So should we use graphing….?
NO
Substitution
It is best to use Substitution when one equation already has a variable solved for….
23226
487413
tb
tb
So should we use substitution….?
NO
Substitution
It is best to use Linear combinations when we can make a magic pair….
23226
487413
tb
tb
So should we use linear combinations….?
YES!!!!!!
Now lets solve
Do you can we make a magic pair?
23226
487413
tb
tb
Example #2
)2(232)26)(2( tb
b12 t4 464
487413 tb 464412 tbEquation #1 Equation #2
Example #2
464412
487413
tb
tb
b1
)(
Example #2
464412
487413
tb
tb
b1
)(
b1
)(
23
23b
464412
487413
tb
tb
23b4874)23(13 t
4874299 t299 299
t4 1884 4 47t
487413 tb 23226 tb
So our solution is
So bushes cost $23 and trees cost $47
)47,23(
Rest of Class
Complete as much of the review sheet as possible
Test Tomorrow
Review session today after school – my room 234, candy will be provided