Name:__________________________________
Date:_____________________
Aim: What is the “best” method to solve a system of equations?
Example: 2x + y = 9
3x – y = 16
Method
Elimination Method (Algebraically)
Eq1:
Eq2:
2x + y = 9
_3x – y = 16
Table of Values (by hand or Calculator)
Eq1: 2x + y = 9
x
y
5x = 25
Work
Zero Intercept Method
2x + y = 9
2x + y = 9
2(0) + y = 9
2x + 0 = 9
y=9
2x = 9
x = 4.5
(0, 9)
(4.5, 0)
x=5
To find y:
Eq2: 3x – y = 16
2(5) + y = 9
10 + y = 9
y = 9 -10
y = -1
Then the solution is (x,
Graph
x
y
3(0) – y = 16
– y = 16
y = -16
3x –(0) = 16
3x = 16
x = -5.34
(5.34, 0)
(0, -16)
y) = ( 5 , -1 ).
Method
Elimination Method (Algebraically)
Table of Values (by hand or Calculator)
Zero Intercept Method
Advantages/
Disadvantages
Which method do you prefer? __________________________________________________________________________________________________________
Explain why this method is the best for you?
_____________________________________________________________________________________________________________________________________
_________________________________________________________________________________________________________________________________
_______________________________________________________________________________________________________________________________-__
Class Activity: a) Solve the system of equation by elimination
1.
x–y=1
x + y = -9
2. p + q = -2
p–q=8
3. 2x + 5y = -3
2x + 2y = 6
4. 4a + b = 2
4a + 3b = 10
5. 6m - 8n = 3
2m - 8n = -3
b) Use graphs to check your work
Name:__________________________________
Date:_____________________
Aim: What is the “best” method to solve a system of equations?
Method
Elimination Method (Algebraically)
Eq1:
Eq2:
Eq1 + Eq2:
Table of Values (by hand or Calculator)
Eq1:
x
__________
y
Work
To find ( ):
Eq2:
x
Then the solution is (x,
Graph
y) = (
,
).
y
Zero Intercept Method
Method
Elimination Method (Algebraically)
Table of Values (by hand or Calculator)
Zero Intercept Method
Advantages/
Disadvantages
Which method do you prefer? __________________________________________________________________________________________________________
Explain why this method is the best for you?
_____________________________________________________________________________________________________________________________________
_________________________________________________________________________________________________________________________________
_______________________________________________________________________________________________________________________________-__
Class Activity: a) Solve the system of equation by elimination
b) Use graphs to check your work