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Solving Systems by Elimination

Last updated almost 2 years ago
15 questions
Note from the author:
Solving systems of equations with addition and subtraction.
Write all solutions to systems of equations as an ordered pair (x,y)
Required
1

What variable do you eliminate?

4x + 8y = 20
−4x + 2y = −30

Required
1

Put the steps for solving by ELIMINATION in order:

  1. Plug that number into either original equation and solve for the other variable
  2. Subtract the equations to eliminate one variable
  3. Make sure the equations are lined up
  4. Solve for the remaining variable
Required
1

Solve by elimination. Write the answer as an ordered pair
(Show all work)

4x+9y=28 -4x-y=-28

Required
1

Solve by elimination. Write the answer as an ordered pair
(Show all work)

7x+y=-9

-3x-y=5

Required
1

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

4x + 3y = 1

x - 3y = -11

Required
1

Solve by elimination. Write the answer as an ordered pair
(Show all work)

4x+4y=4 3x+4y=10

Required
1

Identify the solution to this system of equations

Required
1

Solve by elimination. Write the answer as an ordered pair
(Show all work)

3x+7y=23

-3x-7y=-17

Required
1

Solve by elimination. Write the answer as an ordered pair
(Show all work)

-x+2y=17 2x+2y=-10


Required
1

How many solutions does the following equation have? 3x − 3 = −3 + 3x

Required
1

Solve by elimination. Write the answer as an ordered pair
(Show all work)

3x + y = –14

–2x – y = 9


Required
1

Solve by elimination. Write the answer as an ordered pair
(Show all work)

x + 4y = –3  x + 7y = –12


Required
1

What is the slope and the y intercept of the following?

Required
1

Solve by elimination. Write the answer as an ordered pair
(Show all work)

-x+2y=17

2x+2y=-10


Required
1

A system of two parallel lines will have how many solutions?