Elimination MethodDay 2

Today’s Objective:I can solve a system using

elimination

2x – 3y = 5

x – 2y = 4

y = -3Step 2

Step 3 y = -3

x – 2y = 4

x – 2( ) = 4

x + 6 = 4

x = -2

Step 4

Step 5(-2, -3)

-32x – 3y = 5

-2( )

-2x + 4y = -8

2x + 3y = 10

3x – 4y = -2

17x = 34Step 2

Step 3 x = 2

2x + 3y = 10

2( ) + 3y = 10

4 + 3y = 10

3y = 6

y = 2

Step 4

Step 5

(2, 2)

28x + 12y = 40

3( )

4( )

9x – 12y = -6

3x + 2y = 17

2x + 5y = 26

-11y = -44Step 2

Step 3 y = 4

3x + 2y = 17

3x + 2( ) = 17

3x + 8 = 17

3x = 9

x = 3

Step 4

Step 5

(3, 4)

46x + 4y = 34

-3( )

2( )

-6x – 15y = -78

Answers for Elimination 2

1. (2, 3) 2. (-1, -2) 3. (1, -2)

4. (0, 3) 5. (1, -4) 6. (2, -2)

7. (-2, 4) 8. (-5, 0) 9. (2, 1)

10. (5, 2) 11. (1, 4) 12. (-1, -1)

I can solve a system using elimination.

AssignmentWS Solving System of Equations

Elimination 2