6-3: Solving Systems of Equations with Elimination

6-3: Solving Systems of Equations with Elimination

Steps

• Look for the variable with the same number, but opposite signs; then we can add these equations together

• This will eliminate one of the variables.

• Solve for the remaining variable

• Then, plug in the variable we solved for to get the remaining variable.

• Write your answer as a coordinate pair

Multiple Choice

What would be the first step in finding the solution using elimination?

2x + 2y = -2

3x - 2y = 12

• you cannot solve this using eliminiation

• cross out the 2x and 3x

• cross out the 2y and -2y

• change to slope intercept form and graph

Multiple Choice

solve the system of equation using elimination

x - 2y = -19

5x + 2y = 1

• (3, -8)

• (-3, 11)

• (1, 0)

• (-3,8)

Multiple Choice

What would be the first step in finding the solution with elimination?

4x + 3y = 1

x - 3y = -11

• cross out the 3y and -3y

• cross out the 4x and x

• change all the signs of the second equation

• add 1 and -11

Multiple Choice

Solve  the system of equations.  
   x + 5y = -27
-2x - 5y = 24

• (3, 6)
• (-3, -6)
• (-3, -4)
• (3, -6)

Multiple Choice

Solve by elimination:

7x + y = -9

-3x - y = 5

• No solution

• (1,8)

• (-1,-3)

• (-1,-2)

Multiple Choice

Solve by elimination:
-9x - 4y = -20
5x + 4y = 4

• (-4,4)
• (4,4)
• (4,-4)
• (-4,-4)

Multiple Choice

Solve by elimination

-6x + 5y = 1

6x + 4y = -10

• (-1,7/5)

• (0,-1)

• (1,1)

• (-1,-1)

Multiple Choice

Solve by elimination:

3x+7y=23

-3x-7y=-17

• No solution

• (0, 3)

• (-3,3)

• (3,3)

Multiple Choice

x − y = 11
2x + y = 19

• (-1, 10)
• (30, 19)
• (19, 30)
• (10, -1)

Multiple Choice

  4x + 8y = 20
−4x + 2y = −30

• (-1, 7)
• (-7, 1)
• (7, -1)
• (1, -7)

Multiple Choice

7x - y = 10

-7x + y = -14

• No Solution

• (4, 1)

• Infinitely Many Solutions

• (2, -4)