11.3 and 11.4- Solving Linear Systems by … and 11.4 Solving Linear Systems by Elimination.notebook...
Transcript of 11.3 and 11.4- Solving Linear Systems by … and 11.4 Solving Linear Systems by Elimination.notebook...
11.3 and 11.4 Solving Linear Systems by Elimination.notebook
1
October 13, 2016
11.3 and 11.4 Solving Linear Systems by Elimination.notebook
2
October 13, 2016
11.3/11.4
Solving Systems of Equations
by Elimination
11.3 and 11.4 Solving Linear Systems by Elimination.notebook
3
October 13, 2016
Lesson 11‐3 ‐ Solving Systems by Adding or Subtracting
Elimination Method: uses to solve a system of linear equations by eliminating one variable by adding or subtracting the two equations of the systems to obtain a single equation in one variable.
11.3 and 11.4 Solving Linear Systems by Elimination.notebook
4
October 13, 2016
STEPS:1. Add the equations to eliminate one variable
2. Solve the resulting equation for the other variable
3. Substitute the value into either original equation to find the value of the eliminated variable.
11.3 and 11.4 Solving Linear Systems by Elimination.notebook
5
October 13, 2016
11.3 and 11.4 Solving Linear Systems by Elimination.notebook
6
October 13, 2016
Solve:
11.3 and 11.4 Solving Linear Systems by Elimination.notebook
7
October 13, 2016
Sometimes, neither variable can be eliminated when you simply add or subtract, therefore, you need to use a method of multiplying by a constant prior to adding or subtracting.
Solving Linear Systems by Elimination using Multiplication
11.3 and 11.4 Solving Linear Systems by Elimination.notebook
8
October 13, 2016
STEPS:1. Decide which variable to eliminate
2. Multiply one equation by a constant to so that adding or subtracting will eliminate that variable
3. Solve the system using the elimination method
11.3 and 11.4 Solving Linear Systems by Elimination.notebook
9
October 13, 2016
Solve:
11.3 and 11.4 Solving Linear Systems by Elimination.notebook
10
October 13, 2016
Solve:
11.3 and 11.4 Solving Linear Systems by Elimination.notebook
11
October 13, 2016
Video Time
11.3 and 11.4 Solving Linear Systems by Elimination.notebook
12
October 13, 2016
Video Time
11.3 and 11.4 Solving Linear Systems by Elimination.notebook
13
October 13, 2016
11.3 and 11.4 Solving Linear Systems by Elimination.notebook
14
October 13, 2016
11.3 and 11.4 Solving Linear Systems by Elimination.notebook
15
October 13, 2016
A pharmacist wanted 250 ml of a solution that was 72% iodine. How many milliliters of a 40% solution should be mixed with how many milliliters of an 80% solution to get the desired results?
11.3 and 11.4 Solving Linear Systems by Elimination.notebook
16
October 13, 2016
A wholesaler has 84% octane gas and 91% octane gas. If he receives an order for 15,000 gallons of 89.7% octane gas, how much of each kind should be mixed to fill the order?
(with calculator)