Solving Systems of Equations Using Elimination

What type of elimination could you use for this system of equations?

𝑥 − 6𝑦 = −18

−𝑥 + 10𝑦 = 30

• Addition

• Subtraction

• Simple Multiplication

• Complex Multiplication

Solve this system of equations using elimination with addition:

−5𝑥 + 6𝑦 = 4

5𝑥 − 𝑦 = −9

• (-2, 3)

• (2, 0)

• (-2, -1)

• (2, -2)

Solve this system of equations using elimination with subtraction:

2x + 4y = -2

3x + 4y = 13

• (-15, -8)

• (15, -8)

• (15, 11)

• (-15, 3)

Solve this system of equations using elimination with simple multiplication:

x + 4y = 2

2x + 5y = -2

• (-6, 4)

• (-6, 2)

• (-6, 3)

• (-6, 1)

What type of elimination would fit best for this system of equations?

6x + 5y = 4

6x – 7y = –20

• Simple Multiplication

• Subtraction

• Addition

• Complex Multiplication

What type of elimination would fit best for this system of equations?

2x + 3y = 6

x + 2y = 5

• Addition

• Subtraction

• Simple Multiplication

• Complex Multiplication

Solve this system of equations. Choose whether to use addition, subtraction, or simple multiplication:

−6𝑥 + 3𝑦 = −24

6𝑥 − 𝑦 = 20

• (-2, 1)

• (-3, 2)

• (3, -2)

• (3, -1)

Solve this system of equations. Choose whether to use addition, subtraction, or simple multiplication:

x - 4y = -12

x + 3y = 2

• (4, 2)

• (2, 2)

• (-4, 4)

• (-4, 2)

Solve this system of equations. Choose whether to use addition, subtraction, or simple multiplication:

-4x + 9y = 9

x - 3y = -6

• (9, 5)

• (-9, 5)

• (8, 5)

• (-9, -5)

What type of elimination could you use for this system of equations?

3x - 2y = 2

5x - 5y = 10

• Addition

• Subtraction

• Simple Multiplication

• Complex Multiplication