Do NOW Determine whether the solution is Consistent



































- Slides: 35
Do NOW Determine whether the solution is Consistent, Inconsistent, Independent, and/or Dependent Graph the following and determine the solution 12/31/2021 6: 52 AM 7. 2 - Solving Systems through Substitution 1
Worksheet Key 12/31/2021 6: 53 AM 7. 2 - Solving Systems through Substitution 2
Worksheet Key 12/31/2021 6: 53 AM 7. 2 - Solving Systems through Substitution 3
Worksheet Key 12/31/2021 6: 53 AM 7. 2 - Solving Systems through Substitution 4
12/31/2021 6: 53 AM 7. 2 - Solving Systems through Substitution 5
Solving Linear Systems with Substitution Section 7. 2 12/31/2021 6: 53 AM 7. 2 - Solving Systems through Substitution 6
Substitution ¡ What does Substitution mean to you? ¡ Examples of Substitution 12/31/2021 6: 53 AM 7. 2 - Solving Systems through Substitution 7
Steps in Substitution A. B. C. D. SOLVE for one equation into one variable REPLACE one equation into other equation SUBSTITUTE the value into either equation CHECK the solution HINT: BEST TIME TO USE SUBSTITUTION IS WHEN AN EQUATION HAS AN ISOLATED VARIABLE 12/31/2021 6: 53 AM 7. 2 - Solving Systems through Substitution 8
Example 1 Solve using Substitution 1. SOLVE for one equation into one variable 12/31/2021 6: 53 AM 7. 2 - Solving Systems through Substitution 9
Example 1 Solve using Substitution 2. REPLACE one equation into other equation 12/31/2021 6: 53 AM 7. 2 - Solving Systems through Substitution 10
Example 1 Solve using Substitution 2. REPLACE one equation into other equation 12/31/2021 6: 53 AM 7. 2 - Solving Systems through Substitution 11
Example 1 Solve using Substitution 3. SUBSTITUTE the value into either equation 12/31/2021 6: 53 AM 7. 2 - Solving Systems through Substitution 12
Example 1 Solve using Substitution 3. SUBSTITUTE the value into either equation 12/31/2021 6: 53 AM 7. 2 - Solving Systems through Substitution 13
Example 1 Solve using Substitution 4. CHECK the solution 12/31/2021 6: 53 AM 7. 2 - Solving Systems through Substitution 14
Example 2 Solve using Substitution 12/31/2021 6: 53 AM 7. 2 - Solving Systems through Substitution 15
Your Turn Solve using Substitution 12/31/2021 6: 53 AM 7. 2 - Solving Systems through Substitution 16
Example 3 Solve using Substitution 1. SOLVE for one equation into one variable 12/31/2021 6: 53 AM 7. 2 - Solving Systems through Substitution 17
Example 3 Solve using Substitution 2. REPLACE one equation into other equation 12/31/2021 6: 53 AM 7. 2 - Solving Systems through Substitution 18
Example 3 Solve using Substitution 2. REPLACE one equation into other equation 12/31/2021 6: 53 AM 7. 2 - Solving Systems through Substitution 19
Example 3 Solve using Substitution 3. SUBSTITUTE the value into either equation 12/31/2021 6: 53 AM 7. 2 - Solving Systems through Substitution 20
Example 3 Solve using Substitution 3. SUBSTITUTE the value into either equation 12/31/2021 6: 53 AM 7. 2 - Solving Systems through Substitution 21
Example 3 Solve using Substitution 4. CHECK the solution 12/31/2021 6: 53 AM 7. 2 - Solving Systems through Substitution 22
Example 4 Solve using Substitution 12/31/2021 6: 53 AM 7. 2 - Solving Systems through Substitution 23
Your Turn Solve using Substitution 12/31/2021 6: 53 AM 7. 2 - Solving Systems through Substitution 24
Example 5 Solve using Substitution 1. SOLVE for one equation into one variable 12/31/2021 6: 53 AM 7. 2 - Solving Systems through Substitution 25
Example 5 Solve using Substitution 2. REPLACE one equation into other equation 12/31/2021 6: 53 AM 7. 2 - Solving Systems through Substitution 26
Example 5 Solve using Substitution 12/31/2021 6: 54 AM 7. 2 - Solving Systems through Substitution 27
Example 5 Solve using Substitution 12/31/2021 6: 54 AM 7. 2 - Solving Systems through Substitution 28
Example 6 Solve using Substitution 1. SOLVE for one equation into one variable 12/31/2021 6: 54 AM 7. 2 - Solving Systems through Substitution 29
Example 6 Solve using Substitution 2. REPLACE one equation into other equation 12/31/2021 6: 54 AM 7. 2 - Solving Systems through Substitution 30
Example 6 Solve using Substitution 3. SUBSTITUTE the value into either equation 12/31/2021 6: 54 AM 7. 2 - Solving Systems through Substitution 31
Example 6 Solve using Substitution 3. SUBSTITUTE the value into either equation 12/31/2021 6: 54 AM 7. 2 - Solving Systems through Substitution 32
Example 6 Solve using Substitution 12/31/2021 6: 54 AM 7. 2 - Solving Systems through Substitution 33
Your Turn Solve using Substitution 12/31/2021 6: 54 AM 7. 2 - Solving Systems through Substitution 34
Assignment Substitution Worksheet 12/31/2021 6: 54 AM 7. 2 - Solving Systems through Substitution 35