1. Graph y = 2x – 3

2. Graph y = ½ x + 2

3. Graph 6x + 3y = 9

4. Graph x + 2y = -1

Questions over hw?

Solve the following Equations

1. 5x + (3x – 5) = -25

2. 4x + 5 = -17 + 2x

Solve Systems of Equations by Elimination

2 2 8

2 2 4

x y

x y

Analyzing the Solution

Solution: (-1, 3)

Does the solution still work if you multiply one or both of the equations by a number like 2 or -2?

Steps for Elimination:

1. Arrange the equations with like terms in columns

2. Multiply, if necessary, to create opposite coefficients for one variable.

3. Add/Subtract the equations. 4. Substitute the value to solve for the

other variable.5. Write your answer as an ordered pair.6. Check your answer.

EXAMPLE 1 (continued)

2 2 8

2 2 4

x y

x y

EXAMPLE 2

4x + 3y = 162x – 3y = 8

EXAMPLE 3

3x + 2y = 7-3x + 4y = 5

EXAMPLE 4

2x – 3y = -2

-4x + 5y = 2

EXAMPLE 5

5x + 2y = 7-4x + y = –16

2x + 3y = 1 4x – 2y = 10

EXAMPLE 6

Classwork Add/Subtract

Use elimination to solve each system of equations.1. -6x – 5y = -4 2. 3m – 4n = -14 3. 3a + b = 1 6x – 7y = -20 3m + 2n = -2 a + b = 3

4. -3x – 4y = -23 5. x – 3y = 11 6. x – 2y = 6 -3x + y = 2 2x – 3y = 16 x + y = 3

7. 2a – 3b = -13 8. 4x + 2y = 6 9. 5x – y = 6

2a + 2b = 7 4x + 4y = 10 5x + 2y = 3

Classwork Multiply

Use elimination to solve each system of equations.1. 2x + 3y = 6 2. 2m + 3n = 4 3. 3a - b = 2 x + 2y = 5 -m + 2n = 5 a + 2b = 3

4. 4x + 5y = 6 5. 4x – 3y = 22 6. 3x – 4y = -4

6x - 7y = -20 2x – y = 10 x + 3y = -10

7. 4x – y = 9 8. 4a – 3b = -8 9. 2x + 2y = 5 5x + 2y = 8 2a + 2b = 3 4x - 4y = 10

Homework Practice Worksheet

Worksheet Jadens Phone Task part 3