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Bell Ringer October 14, 2010 y = 7 – 2x 4x + y = 5 Step 1: Put the equations in Standard Form. 2x + y = 7 4x + y = 5 Step 2: Determine which variable to eliminate. The y’s have the same coefficient. Step 3: Add or subtract the equations. Subtract to eliminate y. 2x + y = 7 ( - ) 4x + y = 5 -2x = 2 x = -1

Bell Ringer October 14, 2010 y = 7 – 2x 4x + y = 5 Step 1: Put the equations in Standard Form. 2x + y = 7 4x + y = 5 Step 2: Determine which variable to

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Page 1: Bell Ringer October 14, 2010 y = 7 – 2x 4x + y = 5 Step 1: Put the equations in Standard Form. 2x + y = 7 4x + y = 5 Step 2: Determine which variable to

Bell Ringer October 14, 2010

y = 7 – 2x

4x + y = 5

Step 1: Put the equations in Standard Form.

2x + y = 7

4x + y = 5

Step 2: Determine which variable to eliminate.

The y’s have the same

coefficient.

Step 3: Add or subtract the equations.

Subtract to eliminate y.

2x + y = 7

(-) 4x + y = 5

-2x = 2

x = -1

Page 2: Bell Ringer October 14, 2010 y = 7 – 2x 4x + y = 5 Step 1: Put the equations in Standard Form. 2x + y = 7 4x + y = 5 Step 2: Determine which variable to

2) Solve the system using elimination.

Step 4: Plug back in to find the other variable.

y = 7 – 2x

y = 7 – 2(-1)

y = 9

Step 5: Check your solution.

(-1, 9)

(9) = 7 – 2(-1)

4(-1) + (9) = 5

y = 7 – 2x

4x + y = 5

Page 3: Bell Ringer October 14, 2010 y = 7 – 2x 4x + y = 5 Step 1: Put the equations in Standard Form. 2x + y = 7 4x + y = 5 Step 2: Determine which variable to

What is the first step when solving with elimination?

1. Add or subtract the equations.

2. Plug numbers into the equation.

3. Solve for a variable.

4. Check your answer.

5. Determine which variable to eliminate.

6. Put the equations in standard form.

Page 4: Bell Ringer October 14, 2010 y = 7 – 2x 4x + y = 5 Step 1: Put the equations in Standard Form. 2x + y = 7 4x + y = 5 Step 2: Determine which variable to

Find two numbers whose sum is 18 and whose difference 22.

1. 14 and 4

2. 20 and -2

3. 24 and -6

4. 30 and 8

Page 5: Bell Ringer October 14, 2010 y = 7 – 2x 4x + y = 5 Step 1: Put the equations in Standard Form. 2x + y = 7 4x + y = 5 Step 2: Determine which variable to

Homework: Worksheet

Page 6: Bell Ringer October 14, 2010 y = 7 – 2x 4x + y = 5 Step 1: Put the equations in Standard Form. 2x + y = 7 4x + y = 5 Step 2: Determine which variable to
Page 7: Bell Ringer October 14, 2010 y = 7 – 2x 4x + y = 5 Step 1: Put the equations in Standard Form. 2x + y = 7 4x + y = 5 Step 2: Determine which variable to