Solving by Elimination Example 1: STEP 2: Look for opposite terms. STEP 1: Write both equations in Standard Form to line up like variables. STEP 5: Solve.

Solving by Elimination Example 1:

STEP 2: Look for opposite terms.

STEP 1: Write both equations in Standard Form to line up like variables.

STEP 5: Solve for the variable.

STEP 6: Substitute the answer into the simplest equation and then solve to find the value of the other variable.

STEP 7: Write the answer as a point.

STEP 8: Check your answer in both equations.

STEP 3: If there are no opposite terms, multiply one or both equations by a constant(s) to get opposite terms.

STEP 4: Add the two equations.

4 3 5

2 3 7

x y

x y

Solving by Elimination 2 5 3

3 10 3

x y

x y

Example 2:

STEP 2: Look for opposite terms.

STEP 1: Write both equations in Standard Form to line up like variables.

STEP 5: Solve for the variable.

STEP 6: Substitute the answer into the simplest equation and then solve to find the value of the other variable.

STEP 7: Write the answer as a point.

STEP 8: Check your answer in both equations.

STEP 3: If there are no opposite terms, multiply one or both equations by a constant(s) to get opposite terms.

STEP 4: Add the two equations.

Practice 2: Practice 1:

2 3 11

7 9 20

x y

x y

7 2 5

7 3 4

x y

x y

Solving by Elimination 2 5 12

5 4 6

x y

y x

Example 3:

STEP 2: Look for opposite terms.

STEP 1: Write both equations in Standard Form to line up like variables.

STEP 5: Solve for the variable.

STEP 6: Substitute the answer into the simplest equation and then solve to find the value of the other variable.

STEP 7: Write the answer as a point.

STEP 8: Check your answer in both equations.

STEP 3: If there are no opposite terms, multiply one or both equations by a constant(s) to get opposite terms.

STEP 4: Add the two equations.

Solving by Elimination 3 2 4

2 8 5

x y

y x

Example 4:

STEP 2: Look for opposite terms.

STEP 1: Write both equations in Standard Form to line up like variables.

STEP 5: Solve for the variable.

STEP 6: Substitute the answer into the simplest equation and then solve to find the value of the other variable.

STEP 7: Write the answer as a point.

STEP 8: Check your answer in both equations.

STEP 3: If there are no opposite terms, multiply one or both equations by a constant(s) to get opposite terms.

STEP 4: Add the two equations.

Practice 3:

11 3 18

3 16 33

y x

x y

Practice 4:

6 2 1

2 3 5

x y

x y

Solving by Elimination 4 5 35

3 2 9

x y

x y

Example 5:

STEP 2: Look for opposite terms.

STEP 1: Write both equations in Standard Form to line up like variables.

STEP 5: Solve for the variable.

STEP 6: Substitute the answer into the simplest equation and then solve to find the value of the other variable.

STEP 7: Write the answer as a point.

STEP 8: Check your answer in both equations.

STEP 3: If there are no opposite terms, multiply one or both equations by a constant(s) to get opposite terms.

STEP 4: Add the two equations.

Solving by Elimination 3 7 5

9 5 5

x y

y x

Example 6:

STEP 2: Look for opposite terms.

STEP 1: Write both equations in Standard Form to line up like variables.

STEP 5: Solve for the variable.

STEP 6: Substitute the answer into the simplest equation and then solve to find the value of the other variable.

STEP 7: Write the answer as a point.

STEP 8: Check your answer in both equations.

STEP 3: If there are no opposite terms, multiply one or both equations by a constant(s) to get opposite terms.

STEP 4: Add the two equations.

Practice 5:

3 2 5

4 5 47

x y

x y

Practice 6:

4 5 35

3 2 9

x y

x y

Example 7:

0.2 1.5 1

4.5 1

x y

x y

Example 8:1 1

53 3

3

x y

x y

Practice 7:

1.2 2.5 1

0.3 0.7 1

x y

x y

Practice 8:

2 28

1 12

4 4

x y

x y

Example 9: (page 453: #4)

Practice 9: (page 456 #38)