Linear Systems Substitution Method
Presentation
•
Mathematics
•
9th Grade
•
Hard
Joseph Anderson
FREE Resource
17 Slides • 6 Questions
1
Algebra 1
Using Substitution to Solve Linear Systems
Teacher Facing
November 14, 2023
Day 1
2
Do Now
Graph and identify the solution to the system. Show your work.
1) x = 8
6 + y = x
2) 6x - y = 4
-4x - y = +1
3
LO: SWBAT use substitution to solve systems
consisting of two linear equations with two variables.
DOL: Given 5 problems, students will correctly use
substitution to solve systems consisting of two linear equations with two variables in at least 4 of 5
questions.
TEKS: A.5C Solve systems of two linear equations with two variables for mathematical and real-world problems.
4
Lesson Vocabulary
Answer the
essential question
on a response card.
System of linear equations
Substitution
y = 2x + 7
3y +4x = 9
3( 2x + 7 ) + 4x = 9
Substitute
5
Today you will learn how to solve
system of linear equations by …
By Substituting
6
7
Step 1:
Isolate a variable.
Step 2:
Substitute the
expression into the
2nd equation.
8
Step 3:
Solve the new
equation.
Step 4:
Substitute the known
variable into either
equation to solve for
the other variable.
9
Step 1: Isolate a variable
Step 2: Substitute
Step 3: Solve
Step 4: Substitute
10
Isolate a
variable
11
Multiple Choice
Isolate the y to equation x+y=−2
y=x+2
y=x−2
y=−x−2
y=−x+2
12
13
Hotspot
Knowledge Check: Where will I substitute the new equation?
14
15
Math Response
Solve for x.
4x−(−x−2)=−3
(just the number)
16
17
Math Response
After substitution, what would be the new equation for y?
18
Solution (-1, -1)
19
Reorder
Sally missed today's lesson. Provide Sally with the steps of Substitution method to solve a system of equations.
Isolate the variable
Substitute the expression into the 2nd equation
Solve the new equation
Substitute the known variable into either equation to solve for the other variable
20
Demonstration of Learning
DOL Given 5
problems, students
will correctly use
substitution to solve
systems consisting
of two linear
equations with two
variables in at least
4 of 5 questions.
21
Open Ended
Suppose you graph a system of equations, but the point of intersection is not clear from the graph. How can you determine the solution from the system?
22
23
LS1S2AE
Algebra 1
Using Substitution to Solve Linear Systems
Teacher Facing
November 14, 2023
Day 1
Show answer
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