Lesson 32 Best Method of Solving a System of Equations KEY.notebook
Aim: How do we choose the best method for solving a system of equations?
Do Now: Solve for x:
x – 5 + 1 = 5
7 6 6
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Lesson 32 Best Method of Solving a System of Equations KEY.notebook
1. a) Solve the system of equations: ­x + y = 0 2x – y = 3
b) Graph the system of equations
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Lesson 32 Best Method of Solving a System of Equations KEY.notebook
2. a) Solve the system of equations: y = ­2 6x ­ 3y = 18
b) Graph the system of equations
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Lesson 32 Best Method of Solving a System of Equations KEY.notebook
Regent's Question
3) Mo's farm stand sold a total of 165 pounds of apples and peaches. She sold apples for $1.75 per pound and peaches for $2.50 per pound. If she made $337.50, how many pounds of peaches did she sell?
(1) 11
(2) 65
(3) 18
(4) 100 Let x = # of pounds of apples
y = # of pounds of peaches
x + y = 165 )
(
2.50
1.75x + 2.50y = 337.50
2.50 x + 2.50y = 412.50
1.75 x + 2.50 y = 337.50
0.75x = 75.00
0.75
0.75
x= 100 pounds of apples
165­100 = y = 65 pounds of peaches
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Lesson 32 Best Method of Solving a System of Equations KEY.notebook
4) Albert says that the two systems of equations shown below have the same solutions. Determine and state whether you agree with Albert. Justify your answer.
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Lesson 32 Best Method of Solving a System of Equations KEY.notebook
5. a) Solve the system of equations: 2x + y = 10 x ­ y = 2
b) Graph the system of equations
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Lesson 32 Best Method of Solving a System of Equations KEY.notebook
6. a) Solve the system of equations: x = ­3y + 3
5x + 10y = 10
b) Graph the system of equations
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Lesson 32 Best Method of Solving a System of Equations KEY.notebook
7. a) Solve the system of equations: 3x ­ y = ­1
x + y = 9
b) Graph the system of equations
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Lesson 32 Best Method of Solving a System of Equations KEY.notebook
8. a) Solve the system of equations: 3x ­ 2y = 2
­5x + 2y = 10
b) Graph the system of equations
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Lesson 32 Best Method of Solving a System of Equations KEY.notebook
Regent's Question
9)
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Lesson 32 Best Method of Solving a System of Equations KEY.notebook
Regent's Question
10)
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