Solving Systems word problem by hcj

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```									3.2 – SOLVING SYSTEMS WORD
PROBLEMS
Today’s Goal
 Review how to solve systems of equations using
the Elimination Method.
 Write and solve a system of linear equations for a
word problem scenario.
Agenda
 Elimination Notes
 Review Problems from Monday
 System Word Problems Practice
3.2 – SOLVING SYSTEMS BY
ELIMINATION
1. Multiply one or both of the equations by a
number so that the coefficients of x or y
are opposite in sign.
2. Add the equations together thus
eliminating a variable. Solve for the
variable left.
3. Solve for the other variable.
EXAMPLE 1 – MULTIPLYING 1 EQUATION

Solution = (-2, 6)
EXAMPLE #2 – MULTIPLYING BOTH
EQUATIONS

Solution= (-3, -4)
SYSTEMS WORD PROBLEMS
Strategy for Word Problems
 Define your variables, x and y.
 Write two linear equations to model the word
problem scenario.
 Solve the system of equations by the Substitution
or Elimination Method.
1. Find the value of two numbers if their sum
is 12 and their difference is 4.

8 and 4
PROBLEM 2
You and your friend go to Taco Bell for lunch.
You order 2 soft tacos and 3 burritos and
spend \$11.25. Your friend orders 4 soft tacos
and 2 burritos for a total of \$10. How much
does a soft taco cost? How much does a
burrito cost?

Soft taco = \$1.25
Burrito = \$2.50
PROBLEM 3
You need to get 115 cupcakes for your party.
The vanilla cupcakes cost \$.50 a piece and
the chocolate cost \$.75. Your parents are
willing to spend \$75 on cupcakes. How many
cupcakes of each kind can you get?

45 vanilla cupcakes
70 chocolate cupcakes
PROBLEM 4
You went to the movies and got 2 large
popcorns and 4 sodas and it cost \$28.00.
Your friends went the other day and got 3
large popcorns and 5 sodas and it cost them
\$38.00. How much did each item cost?

Popcorn = \$6
Soda = \$4
HOMEWORK
Finish the back page of the 3.2 Systems Word
Problems worksheet

Tomorrow – More practice with word
problems and solving systems by elimination
MINI-QUIZ TOMORROW
 Solving Systems by Elimination (2 Problems)
 1 word problem

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