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F Substitution and Elimination.notebook
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March 04, 2015
Hello Again!Have out the three problems from last class (solving systems by substitution) and the word problems.
We are checking for completion!
(3,0)314
18
,( )or
(7.75,.125)
(11,19)
Check your answers. Talk about your errors at your group!
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Reallife application: At Target, Cynthia purchased three new shirts and five bottles of nail polish. Her total purchase cost $51. Emily only purchased one shirt, but she bought seven bottles of nail polish. Emily's total purchase cost $33. What was the price of each shirt and bottle of nail polish?
a. Write the system of equations to model this situation. Define your variables!
b. Solve the system using the substitution method. Show all steps of your work. Check your solution using the original equations.
{x=price of shirtsy=price of bottle of nail polish
3x+5y=51
x+7y=33
Cynthia
Emily
RealLife Application A snack bar sells two sizes of snack packs. A large snack pack is $5, and a small snack pack is $3. In one day, the snack bar sold 60 snack packs for a total of $220. How many large and small snack packs did the snack bar sell?
a. Write the system of equations to model this situation. Define your variables!
b. Solve the system using the substitution method. Show all steps of your work. Check your solution using the original equations.
{x= # of large snack packsy= # of small snack packsx+y=60
5x+3y=220
Number of snack packs sold in one day
Total money earned
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March 04, 2015
@ BOARDS2x+4y=30
x= 12y{
(3,6)
Solve the system using the substitution method
@ BOARDS
3x+y=4
6x+y=6{( 23, 2)
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March 04, 2015
@ BOARDS
5+3x=y
4x+4=y{(1,8)
Special Cases: Use substitution to find the solution to each system
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Page #374 Example #4
What would these systems look like on a graph!?
Apples and Oranges A cafeteria sells fresh fruit by the weight. All apples weigh the same and all oranges weigh the same. Use the picture on the right to help you determine the weight of an orange and the weight of an apple. Show your work or thinking below
HINT: What is the difference in the weight?
Write a system of equations to represent this situation! Be sure to define your variables!
*USE YOUR CUTOUTS!!
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Why is this system hard to solve by the graphing, table, and substitution methods?
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EXIT SLIP
4x3y=7
x2y=8{Solve the following system using substitution. Make sure to write your answer as an ordered pair!
HOMEWORK*Pages 1, and 2 ONLY from the elimination packet
Half sheetuse the steps from the graphic organizer to show your work
Start MathXL (Solving Systems by Elimination)
