A1 7.3 Quiz

What is the goal of solving systems using elimination?

• Get 1 of the variables to be eliminated through addition

• Get 1 of the variables to substitute for another

• Get 1 of the variables to be eliminated through division

• Get 1 of the variables to be shown on a graph

Which of the following systems could be solved by using elimination?

• y = 3x

  5x + 6y = 12

• y = 7x - 4

  y = 8x + 11

• 5x + 6y = 10

  -5x + 8y = 20

• 4x - 5y = 10

  2x + 7y = 13

Solve the following system using elimination:

2x + 3y = 10

-2x + 2y = 20

• (2, -6)

• (-4, 6)

• (-2, 6)

• (4, -6)

Solve the following system using elimination:

6x - 2y = 12

4x + 2y = 18

• (6, 6)

• (5, 5)

• (4, 4)

• (3, 3)

Solve the following system using elimination:

4x + 6y = 20

4x + 2y = 8

Hint: Change one of the equations so a variable will cancel.

• (.5, 6)

• (.5, 3)

• (2, .5)

• (4, .5)

Solve the following system using elimination:

4y + 2x = 18

-2x + 2y = 24

Hint: Change the order to line variables up.

• (3, -6)

• (-3, 6)

• (-5, 7)

• (5, -7)

Solve the following system using elimination:

8x - 4y = 32

2x + 4y = 8

• (10, 0)

• (8, 0)

• (6, 0)

• (4, 0)

Solve the following system using elimination:

5x - 10y = 20

5x + 5y = 35

Hint: Change one of the equations so a variable will cancel.

• (6, 1)

• (8, 1)

• (7, 2)

• (2, 7)

When solving a system by graphing, where is the solution found?

• Where the line hits the x-axis

• Where the lines intersect

• Where the line hits the y-axis

• Where the lines touch the edge of the graph

Solve the following system using elimination:

6x - 2y = 40

4x + 2y = 10

• (3, -3)

• (4, -4)

• (5, -5)

• (2, -2)