Systems of linear equations

Vocabulary(1 mins)

100

What does "the solution of a system of the linear equation" mean?

Intersection point / meeting point

200

What does "system of linear equations" mean?

consist of 2 or more linear equations

300

What does "Elimination/Eliminate" mean?

Get rid of / Remove

300

What does "Substitution/Substitute" mean?

Replace/Plugin

500

What are the different types of solutions of systems of linear equations?

* 1 solution

* no solutions

* many solutions

Determine the best method (1 mins)

100

Determine the best method to solve and explain why!

You DO NOT need to solve!

Y = - 2X + 1

Y = 5X - 3

Graphing: y=mx + b form 

or

Substitution: y is isolated

200

Determine the best method to solve and explain why!

You DO NOT need to solve!

2x + 3  = y 

3y + x = 9

Substitution:  y is isolated 

300

Determine the best method to solve and explain why!

You DO NOT need to solve!

10x - y = 45

y = 8x 

Substitution: y is isolated

300

Determine the best method to solve and explain why!

You DO NOT need to solve!

5x + y =10

5x - 3y =40

Elimination: standard form ax+bx = c

or 

numbers in front of variables are the same

500

Determine the best method to solve and explain why!

You DO NOT need to solve!

0.5x - 1/3y = 21

x + 3y = 4

Elimination: contain fraction 

or 

standard form ax+bx =c

Solve by Graphing (5 mins)

100

Using the graphing method, find the solution.

y = 2x 

y = -4x

(0, 0)

200

Using the graphing method, find the solution.

y = x + 5 

y = -4x

(-1, 4)

300

Using the graphing method, find the solution.

y = 5x -2 

y = x + 2

(1, 3)

300

Using the graphing method, find the solution.

y = -2x -5

y=3x + 5

(-2 , -1)

500

Using the graphing method, find the solution.

y = 2x + 4

2y = 2x + 4

(-2 , 0)

Solve by Substitution (5 mins)

100

Using the Substitution method, find the solution.

y=2x

y=4x

( 0, 0 )

200

Using the Substitution method, find the solution.

2x + y =10

x = 4

(4, 2)

300

Using the Substitution method, find the solution.

x = y + 4 

4x + 2y = 22

(5, 1)

300

Using the Substitution method, find the solution.

8 + x = y

6y + 2x =64

(2, 10)

500

Using the Substitution method, find the solution.

10x + y = 60

2x + 3y = 40 

(5, 10)

Solve by Elimination (5 mins)

100

Using the Elimination method, find the solution.

x + y =3

x - 2y =0

( 2 , 1 )

200

Using the Elimination method, find the solution.

4y - 5x = 4

2y +5x = 32

(4, 6)

300

Using the Elimination method, find the solution.

x + y = 8

2x - 3y = 1

( 5 , 3 )

300

Using the Elimination method, find the solution.

7y - 2x = 8

2y + x = 7

( 3 , 2 )

500

Using the Elimination method, find the solution.

3x + 5y = 31

5x + 3y = 38

( 3 , 1 )