= Name ______Period ______

Activity Sheet 3-5

Solving System of Equations Using Multiplication 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 = –1

= + y variable = – y variable

1.  3x + 2y = 4

2x – y = 5 Solution (______)

(Drawing: 1st and 2nd Equation) (Drawing after Mulitplication) (Drawing of Simplification) (Algebraic Form of Equation)

______

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2.  4x – 3y = 2

– x + y = 1 Solution (______)

(Drawing: 1st and 2nd Equation) (Drawing after Mulitplication) (Drawing of Simplification) (Algebraic Form of Equation)

______

______

3.  2x – 4y = 2

3x + 2y = 3 Solution (______)

(Drawing: 1st and 2nd Equation) (Drawing after Mulitplication) (Drawing of Simplification) (Algebraic Form of Equation)

______

______

4.  – 4x + 4y = 4

3x + 2y = 2 Solution (______)

(Drawing: 1st and 2nd Equation) (Drawing after Mulitplication) (Drawing of Simplification) (Algebraic Form of Equation)

______

______

5.  3x – 4y = – 1

– x + 3y = 2 Solution (______)

(Drawing: 1st and 2nd Equation) (Drawing after Mulitplication) (Drawing of Simplification) (Algebraic Form of Equation)

______

______

6.  – 4y = – 2x + 2

2y = – 3x + 3 Solution (______)

(Drawing: 1st and 2nd Equation) (Drawing after Mulitplication) (Drawing of Simplification) (Algebraic Form of Equation)

______

______

7.  6x = 3y – 3

– 2y = –4x + 2 Solution (______)

(Drawing: 1st and 2nd Equation) (Drawing after Mulitplication) (Drawing of Simplification) (Algebraic Form of Equation)

______

______

8.  2x – 2y = 6

3y = 3x + 9 Solution (______)

(Drawing: 1st and 2nd Equation) (Drawing after Mulitplication) (Drawing of Simplification) (Algebraic Form of Equation)

______

______

9.  2y + 6x = 4

3x = y + 2 Solution (______)

(Drawing: 1st and 2nd Equation) (Drawing after Mulitplication) (Drawing of Simplification) (Algebraic Form of Equation)

______

______

10.  – 4x + 2y = 6

y – 1 = –2(– x – 1) Solution (______)

(Drawing: 1st and 2nd Equation) (Drawing after Mulitplication) (Drawing of Simplification) (Algebraic Form of Equation)

______

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