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Lesson 28 Solving Systems of Equations using Substitution (Day 1)
Do Now:
a) Graph the system of equations.
b) State the solution.
c) Where does f(x) = g(x)?
f(x) = 3x + 1
g(x) = -x + 5
Lesson 28 Solving Systems of Equations using Substitution (Day 1)
Strategy #1
1) Solve the following system of equations algebraically.
f(x) = 3x + 1
g(x) = -x + 5
Lesson 28 Solving Systems of Equations using Substitution (Day 1)
Solving Systems of Linear Equations with 2 Variables Algebraically
Problem:
How do we solve that problem:
Two Algebraic Methods:
1) Substitution Method:
2) Elimination Method:
Lesson 28 Solving Systems of Equations using Substitution (Day 1)
Strategy #2
2) Solve the following system of equations algebraically.
2
Lesson 28 Solving Systems of Equations using Substitution (Day 1)
Strategy #2
3) Solve the following system of equations algebraically.
a
b
3a
b
Lesson 28 Solving Systems of Equations using Substitution (Day 1)
Strategy
4) Solve the following system of equations algebraically.
2x = 3y
Lesson 28 Solving Systems of Equations using Substitution (Day 1)
PRACTICE
Directions: Solve the following systems of equations algebraically.
1) y = x
x
y
2) m
3m
n
n
Lesson 28 Solving Systems of Equations using Substitution (Day 1)
PRACTICE
Directions: Solve the following systems of equations algebraically.
3)
r-s
4) 7x
5x
6
y
y=4
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