Section 5.3Solving Systems of Equations Using the Elimination Method

There are two methods to solve systems of equations:•The Substitution Method•The Elimination Method

Solve using the substitution method

2 1

4 7

y x

y x

Solve using the substitution method

2 10

3 12

y x

x y

Solve using the substitution method

2 4 8

2 3 20

x y

x y

Solve using the ELIMINATION method

2 4 8

2 3 20

x y

x y

Solve using the elimination method

8 1

8

x y

x y

Solve using the elimination method….oh no!

2 2 20

3 4 16

x y

x y

What equation or equation would you change in order for the elimination method to work? How would you do it?

5 3 4

4 6 3

x y

x y

What equation or equation would you change in order for the elimination method to work? How would you do it?

5 3 4

4 6 3

x y

x y

10 6 8

4 6 3

x y

x y

What equation or equation would you change in order for the elimination method to work? How would you do it?

8 3 12

4 5 31

x y

x y

What equation or equation would you change in order for the elimination method to work? How would you do it?

8 3 12

4 5 31

x y

x y

8 3 12

8 10 62

x y

x y

What equation or equation would you change in order for the elimination method to work? How would you do it?

2 4 1

3 5 3

x y

x y

What equation or equation would you change in order for the elimination method to work? How would you do it?

2 4 1 ( 3)

3 5 3 (2)

x y

x y

What equation or equation would you change in order for the elimination method to work? How would you do it?

2 4 1 ( 3)

3 5 3 (2)

x y

x y

6 12 3

6 10 6

x y

x y

Solve using the elimination method….oh no!

3 2 8

5 3 11

x y

x y