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Solving Systems using Elimination - Part 2

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by

Joanne Maves

on 3 March 2017

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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