=
Name ________________________ Period ________
Activity Sheet 3-3
Solving System of Equations Using Addition With Pictures
Directions: Build and Draw each variable using the following key and combine like terms. In the other set of
boxes Draw different algebraic form(s) of the problem. In the last lines write and solve the System of Equations.
Key:
= – x variable :
= +x variable :
= –1
= – y variable
= + y variable
1. 5x – y = 2
–x+y= 2
=+1
Solution (________)
(Drawing: 1st and 2nd Equation)
(Drawing after Addition)
(Drawing of Simplification)
(Algebraic Form of Equation)
_________________
_________________
2.
2x + 2y = 6
– 2x + 3y = –1
Solution (________)
(Drawing: 1st and 2nd Equation)
(Drawing after Addition)
(Drawing of Simplification)
(Algebraic Form of Equation)
_________________
_________________
3.
– 2x – 2y = – 8
– 3x + 2y = – 2
Solution (________)
(Drawing: 1st and 2nd Equation)
(Drawing after Addition)
(Drawing of Simplification)
(Algebraic Form of Equation)
_________________
_________________
4. – 3x + 4y = – 2
3x + 2y = – 10
Solution (________)
(Drawing: 1st and 2nd Equation)
(Drawing after Addition)
(Drawing of Simplification)
(Algebraic Form of Equation)
_________________
_________________
5.
– 6x + 5y = – 3
3x – 5y = – 6
Solution (________)
(Drawing: 1st and 2nd Equation)
(Drawing after Addition)
(Drawing of Simplification)
(Algebraic Form of Equation)
_________________
_________________
6.
y= –x+1
y= x+3
Solution (________)
(Drawing: 1st and 2nd Equation)
(Drawing after Addition)
(Drawing of Simplification)
(Algebraic Form of Equation)
_________________
_________________
7. – 2y = 3x + 6
2y = –2x – 4
Solution (________)
(Drawing: 1st and 2nd Equation)
(Drawing after Addition)
(Drawing of Simplification)
(Algebraic Form of Equation)
_________________
_________________
8.
3x – 3y = 3
3y = 2x + 1
Solution (________)
(Drawing: 1st and 2nd Equation)
(Drawing after Addition)
(Drawing of Simplification)
(Algebraic Form of Equation)
_________________
_________________
9.
4y – 3x = – 12
3x = 6 + 2y
Solution (________)
(Drawing: 1st and 2nd Equation)
(Drawing after Addition)
(Drawing of Simplification)
(Algebraic Form of Equation)
_________________
_________________
10.
y + 1 = 2(2x + 1)
2x – y = 5
Solution (________)
(Drawing: 1st and 2nd Equation)
(Drawing after Addition)
(Drawing of Simplification)
(Algebraic Form of Equation)
_________________
_________________