Download presentation

Presentation is loading. Please wait.

Published byMeagan Green Modified over 5 years ago

1
Systems of Linear Equations The Substitution Method

2
Previous Lessons 0 You have already learned the following… 0 How to solve equation with two variables 0 Set up and solve a function table 0 Input vs. output 0 Ordered pair solution is where the two linear equation intersect on a coordinate plane Elimination Method 0 How to solve using the Elimination Method

3
“Substitution” 0 What does it mean to substitute? 0 Definition: In Algebra "Substitution" means putting numbers where the letters are.

4
Using the Substitution Method

5
Example 1 Equation Onex + y = 8 Equation Two x + 2y = 10 Solve for one variable Step 1: Select one equation. Solve for one variable to be isolated on one side of the equal sign. x + y = 8 subtract y from both sides -y -y x = 8 - y

6
Substitute Step 2: Substitute this expression into the second equation to find the value of the one variable. Equation one: x = 8 – y Equation two: x + 2y = 10 New equation : (8 – y) + 2y = 10 Combine like Terms (8 – y) + 2y = 10 8 + y = 10 Subtract 8 -8 -8 y = 2

7
Substitute Step 3: Substitute this value to find the value of the other variable. y = 2 x + y = 8 x + 2 = 8 Subtract 2 -2 -2 x = 6

8
Final Solution: ( 6, 2 ) Check: Plug both values into one of the original equations. x + y = 8 6 + 2 = 8 8 = 8

11
Copy and Solve Complete these problems for homework and we will review tomorrow

Similar presentations

© 2021 SlidePlayer.com Inc.

All rights reserved.

To make this website work, we log user data and share it with processors. To use this website, you must agree to our Privacy Policy, including cookie policy.

Ads by Google