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7.2 Substitution wkshts 10­11
7.2 Solving Systems of Equations by Substitution
There are 4 ways to solve systems of equations
1. Graphing
Answer(3,2)
2. Substitution
3. Addition/Subtraction
4. Multiplication/Addition/Subtraction
7.2 Substitution wkshts 10­11
Notes
Solve by substitution 2. 3x+2y = 2
1. x+y = 2
y = x­3
y =x+8
7.2 Substitution wkshts 10­11
Solve by substitution 3. 2x­y = ­9
x = 2y+3
Notes
7.2 Substitution wkshts 10­11
4. y = 2x­1
y = x+5
1
y
5. y = x+1
2
y
y = ­2x+11
Notes
7.2 Substitution wkshts 10­11
Solve by substitution Notes Completed
1. x+y = 2
2. 3x+2y = 2
y =x+8
y = x­3
7.2 Substitution wkshts 10­11
Solve by substitution 3. 2x­y = ­9
x = 2y+3
Notes Completed
7.2 Substitution wkshts 10­11
1
5. y = x+1
2
4. y = 2x­1
y = x+5
y = 2x­1
x+5
= 2x­1
­2x
­2x
­x+5 = ­1
­5 ­5
­x = ­6 y=2x­1
­1 ­1 y=2(6)­1
x = 6 y=11
(6,11)
y = ­2x+11
1
y = x+1
2
= 12 x+1
­2x+11
­
­
­ x+11 = 1
Notes
Completed
2+1
3
­11 ­11
­ x= ­10 ­ ­
x = 4
(4,3)
­8+11
3
7.2 Substitution wkshts 10­11
TRY THESE! Solve each system
1. 3x+y = 4
y = 2x­6
2. 5x+4y = 5
x = 51 y
7.2 Substitution wkshts 10­11
TRY THESE!
1. 3x+y = 4
y = 2x­6
ANSWERS
2. 5x+4y = 5
x = 51 y
7.2 Substitution wkshts 10­11
How to do the first problem(of 9 problems) off of the HW worksheet
(0,2)
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