#### Transcript of Solving Systems using Elimination - Part 2

**Part 2**

**Solving Systems using Elimination**

Objective

Jaguars will be able to solve systems by multiplying

or dividing to eliminate a variable

Multiplication

Multiply by an entire equation by a number to eliminate a variable.

Multiplication

Once you multiply an equation, solve using addition or subtraction (Part 1)

Multiplication

Division

You can also divide an equation by any number as long as that number is a factor of every term.

No Solution

Remember, no solution occurs when you arrive at a false statement.

Infinitely Many Solutions

Remember, infinitely many solutions occurs when you arrive at an identity.

-2x + 15y = -32

7x - 5y = 17

Look at each set of variables separately.

-2x + 15y = -32

7x - 5y = 17

What can I multiply 2x by to equal 7x?

What can I multiply 5y by to get 15y?

3

(7x - 5y) =

3

(17)

21x - 15y = 51

Now use your new equation in the system

-2x + 15y = -32

21x - 15y = 51

+

19x + 0 = 19

19

19

x = 1

-2(

1

) + 15y = -32

-2 + 15y = -32

+2

+2

15y = -30

15

15

y = -2

(1, -2)

If needed, you can multiply more than one equation to eliminate a variable.

Elimination

Strategies

Multiply one

equation

Multiply Both

Equations

Divide equation

by

common factor

Addition

&

Subtraction

Practice

1. 2x - 3y = -12

3x - 2y = 2

2. 3x + 4y = 24

6x + 8y = 24

3. 2x - 5y = 17

6x - 15y = 51

HOMEWORK

What is the solution of each system?

5x + 3y = 26

-2x + 7y = 6

4x - 8y = 15

-5x + 10y = -30

Full transcript