12/6 - Elimination Method

Do Now

Use the substitution method to determine the solution of each
system of linear equations. Check your solutions. Show your work.

2x + 4y = -32

y = - x - 8

1
2

LO: SWBAT use elimination method to solve systems
consisting of two linear equations with two variables.

DOL: Given 5 problems, students will correctly use
elimination method to solve systems consisting of two
linear equations with two variables in at least 4 of 5
questions.

TEKS: A.5C Solve systems of two linear equations with two variables for mathematical and real-world problems.

Lesson Vocabulary

Answer the

essential question
on a response card.

System of linear equations

Linear Elimination Method

Elimination Method

Solving
Systems of Equations using...

There are a total of 324 people who joined the Comic Gurus group on
a social media site. Female group members outnumber males by 34.

Getting Started

1.

Write the system that represents the problem situation. Use x to
represent the female members of the group, and use y to represent the male members of the group. Write the equations in standard form.

Chloe and Mara used
different strategies to
solve the system of
equations in a similar
way. Analyze each
student’s reasoning.

2. Explain why each student is correct in their reasoning.

Word Cloud

What characteristic of the system do you notice?

$$x+y=324$$

$$x-y=34$$

Dropdown

There are ​

Select answer

​ females and ​

Select answer

males that joined the Comic Guru group on a social media site.

The algebraic method used by Mara to solve the linear
system is called the elimination method.

5. Solve each system of equations using the linear

elimination method.

5. Solve each system of equations using the linear

elimination method.

Hotspot

Which variable would be ideal to eliminate?

Math Response

Solve for y.

(just the number)

Type answer here

Correct Answer: 6

Deg^°

Rad

Math Response

Solve for x, given y = 6.

(just the number)

Type answer here

Correct Answer: 1

Deg^°

Rad

Hotspot

Which variable would be ideal to eliminate?

Math Response

Solve for x.

(just the number)

Type answer here

Correct Answer: -1

Deg^°

Rad

Math Response

Solve for x, given x = -1.

(just the number)

Type answer here

Correct Answer: \frac{1}{2}

Deg^°

Rad

Demonstration of Learning

DOL
Given 5 problems,
students will
correctly use
elimination
(combination) to
solve systems
consisting of two
linear equations
with two variables
in at least 4 of 5
questions.

Open Ended

How do you solve a system of linear equations using elimination method?