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